Document:

<PAGE>   1
                                                                 EXHIBIT 10.2

                        AMENDMENT TO EMPLOYMENT AGREEMENT
                       AND AGREEMENT TO ACCELERATE CERTAIN
                           NON-QUALIFIED STOCK OPTIONS

         WHEREAS, there is now existing an Employment Agreement (the
"Agreement"), by and between INFOCURE CORPORATION, a Delaware Corporation
("Company") and FREDERICK L. FINE ("Executive"), dated July 1, 1998;

         WHEREAS, the Company and the Executive desire to set forth the terms by
which Executive will continue his employment as the Company's President and
Chief Executive Officer, and to modify the existing Agreement between the
parties;

         WHEREAS, the Company granted Executive an option to purchase
thirty-five thousand (35,000) shares of common stock of the Company at an
exercise price of Twelve and 25/100 Dollars ($12.25) per share, as evidence by a
Non-Qualified Stock Option Grant Certificate dated June 1, 1998 (the "June 1,
1998 Certificate");

         WHEREAS, the Company granted Executive an option to purchase one
hundred forty thousand (140,000) shares of common stock of the Company at an
exercise price of Thirteen and 50/100 Dollars ($13.50) per share, as evidenced
by a Non-Qualified Stock Option Grant Certificate dated October 23, 1998 (the
"October 23, 1998 Certificate");

         WHEREAS, the Company granted Executive an option to purchase two
hundred twenty thousand (220,000) shares of common stock of the Company at an
exercise price of Thirty-Five and No/100 Dollars ($35.00) per share, as
evidenced by a Non-Qualified Stock Option Grant Certificate dated June 9, 1999
(the "June 9, 1999 Certificate"); and

         WHEREAS, the Company wishes to provide for one hundred percent (100%)
vesting of all outstanding stock options granted to Executive upon a change in
control of the Company.

         NOW, THEREFORE, in consideration of the mutual promises, terms,
covenants and conditions set forth herein and in the Agreement, and the
performance of each, the Company and Executive hereby agree to amend the
Agreement as follows:

1.       The last sentence of Section 2.B. is deleted.

2.       The following Section 2.G. is added following Section 2.F.:

                  G. Other Compensation. During the term of this Agreement, in
         addition to the Base Salary as provided in Section 2.A. or Incentive
         Compensation as provided in Section 2.B. above, Executive shall receive
         other compensation, as described in EXHIBITS C through E, which are
         attached hereto and shall constitute a part of this Agreement.

3.       The last paragraph of Section 4.C. is deleted and replaced by the
         following paragraphs:

<PAGE>   2

                  Notwithstanding anything to the contrary contained in this
         Agreement, in the event of a change (herein a "Change") in the
         ownership or effective control of the Company or in the ownership of a
         substantial portion of the assets of the Company (as such phrases are
         interpreted under Section 280G(b)(2)(A)(i) of the Internal Revenue Code
         of 1986, as amended (the "Code")), a licensed certified public
         accountant (herein the "Selected Accountant") shall be selected by the
         Company and the Executive for the purpose of making a determination as
         to whether the Executive shall have any liability for a tax under Code
         ss. 4999 due to such "Change." If the Selected Accountant shall
         determine that the aggregate payments made to the Executive pursuant to
         this Agreement and any other payments to the Executive from the Company
         which constitute "parachute payments" (as defined in Code ss.
         280G(b)(2)(A)) would be subject to the excise tax under Code ss. 4999
         (collectively the "aggregate payments"), then the Executive shall be
         entitled to receive an additional payment (herein the "Gross-Up
         Payment") in an amount determined by the Selected Accountant such that
         after payment by the Executive of all taxes (including any federal or
         state income taxes and Code ss. 4999 excise tax) imposed upon the
         Gross-Up Payment and any interest or penalties imposed with respect to
         such taxes, the Executive retains from the Gross-Up Payment an amount
         equal to the Code ss. 4999 excise tax imposed upon the aggregate
         payments. If the Selected Accountant shall determine that no Code ss.
         4999 excise tax is payable by the Executive, it shall furnish the
         Executive with a written opinion that the Executive has substantial
         authority not to report any Code ss. 4999 excise tax on the Executive's
         federal income tax return. All fees and disbursements of the Selected
         Accountant shall be paid by the Company.

                  If the Executive is subsequently required by any governmental
         agency to make a payment of any Code ss. 4999 excise tax (and a payment
         of any interest or penalties with respect thereto), then the Selected
         Accountant shall determine the amount of such payments and any such
         payments shall be promptly paid by the Company to or for the benefit of
         the Executive. The Executive shall notify the Company in writing within
         fifteen (15) days of any claim by a governmental agency that, if
         successful, would require the payment by the Company of a Gross-Up
         Payment under the foregoing provisions of this Agreement. If the
         Company notifies the Executive in writing that it desires to contest
         such claim and that it will bear the costs and provide the
         indemnification as required by the preceding sentences, the Executive
         shall (i) give the Company any information reasonably requested by the
         Company relating to such claim; (ii) take such action in connection
         with contesting such claim as the Company shall reasonably request in
         writing, from time to time, including, without limitation, accepting
         legal representation with respect to such claim by an attorney
         reasonably selected by the Company; (iii) cooperate with the Company in
         good faith in order to effectively contest such claim and (iv) permit
         the Company to participate in any proceedings relating to such claim;
         provided, however, that the Company shall bear and pay directly all
         costs and expenses (including additional interest and penalties)
         incurred in connection with such contest and shall indemnify and hold
         the Executive harmless, on an after-tax basis, for any Code ss. 4999
         excise tax or

                                  Page 2 of 4
<PAGE>   3

         income tax, including interest and penalties with respect thereto,
         imposed as a result of such representation and payment of costs and
         expenses. The Company shall control all proceedings taken in connection
         with such contest; provided, however, that if the Company directs the
         Executive to pay such claim and sue for a refund, the Company shall
         advance the amount of such payment to the Executive, and shall
         indemnify and hold the Executive harmless, on an after-tax basis, from
         any Code ss. 4999 excise tax or income tax, including interest or
         penalties with respect thereto, imposed with respect to such advance or
         with respect to any imputed income with respect to such advance. If
         after the receipt by the Executive of an amount advanced by the Company
         pursuant to the previous sentences, the Executive becomes entitled to
         receive any refund with respect to such amount paid, the Executive
         shall within ten (10) days pay to the Company the amount of such refund
         (together with any interest paid or credited thereon after taxes
         applicable thereto).

4.       The last paragraph of Section 4.D. of the Agreement is deleted and
         replaced by the following paragraph:

                  For purposes of this Agreement, "Constructive Discharge" shall
         mean any of the events set forth below which are not cured within
         fifteen (15) days following written notice thereof by Executive to
         Company:

                  (i)      Any material reduction in Base Salary;

                  (ii)     A material reduction in Executive's job function,
         duties or responsibilities, or a similar change in Executive's
         reporting relationships;

                  (iii)    A required relocation of Executive of more than one
         hundred (100) miles from Executive's current job location;

                  (iv)     Any material breach of any of the terms of this
         Agreement by the Company;

                  (v)      Any failure by the Company to grant to Executive not
         later than August 1, 1998 stock options in the amount and on terms set
         forth on EXHIBIT C; or

                  (vi)     Any failure by the Company to grant to Executive not
         later than June 10, 1999, stock options in the amount and on terms set
         forth on EXHIBIT E.

         provided, however, that the term "Constructive Discharge" shall not
         include a specific event described in the preceding clause (i), (ii),
         (iii) or (iv) unless Executive actually terminates his employment with
         the Company within sixty (60) days after the occurrence of such event.

                                  Page 3 of 4
<PAGE>   4

5.       Section 7.A. of the Agreement is amended by striking the phrase "twelve
         (12) months" and inserting in lieu thereof the phrase "twenty-four (24)
         months" each place it appears.

6.       SCHEDULE A to the Agreement shall be renamed EXHIBIT C.

7.       SCHEDULE B to the Agreement shall be renamed EXHIBIT D.

8.       EXHIBIT E which is attached hereto shall be attached to the Agreement
         and made a part thereof.

9.       The effective date for each and every provision of this Amendment shall
         be the date of execution noted below.

10.      Except as specifically amended above, the Agreement shall remain
         unchanged and, as amended herein, shall remain in full force and
         effect.

Furthermore, in consideration of the mutual promises, terms, covenants and
conditions set forth herein and in the Agreement, and the performance of each,
the Company and Executive hereby further agree to accelerate the vesting on the
options granted evidenced by the June 1, 1998 Certificate, the October 23, 1998
Certificate and the June 9, 1999 Certificate in the event of a Change in Control
(as defined in Section 4.C. of the Agreement) so that such options shall
immediately become fully (100%) vested and exercisable in such event.

         IN WITNESS WHEREOF, the parties have executed this Amendment to
Employment Agreement and Agreement to Accelerate Certain Nonqualified Stock
Options to be effective as of June 9, 1999.

                                     COMPANY:

                                     InfoCure Corporation

                                     By:  /s/ Richard E. Perlman
                                        ---------------------------------------
                                     Title: Chairman
                                           ------------------------------------

                                     EXECUTIVE:

                                          /s/ Frederick L. Fine
                                     ------------------------------------------
                                     Frederick L. Fine

                                  Page 4 of 4
<PAGE>   5

                                    EXHIBIT E

         A non-qualified option to purchase two hundred twenty thousand
(220,000) shares of Company's common stock at an exercise price equal to fair
market value on the date of grant, vesting over four (4) years from the date of
grant, with such other terms and provisions as may be set forth in a written
option agreement or option certificate executed by the parties.<PAGE>   1
                                                                    EXHIBIT 10.4

                        AMENDMENT TO EMPLOYMENT AGREEMENT
                       AND AGREEMENT TO ACCELERATE CERTAIN
                           NON-QUALIFIED STOCK OPTIONS

         WHEREAS, there is now existing an Employment Agreement (the
"Agreement"), by and between INFOCURE CORPORATION, a Delaware Corporation
("Company") and JAMES K. PRICE ("Executive"), dated July 1, 1998;

         WHEREAS, the Company and the Executive desire to set forth the terms by
which Executive will continue his employment as the Company's Executive Vice
President, and to modify the existing Agreement between the parties;

         WHEREAS, the Company granted Executive an option to purchase thirty
thousand (30,000) shares of common stock of the Company at an exercise price of
Twelve and 25/100 Dollars ($12.25) per share, as evidence by a Non-Qualified
Stock Option Grant Certificate dated June 1, 1998 (the "June 1, 1998
Certificate");

         WHEREAS, the Company granted Executive an option to purchase one
hundred thirty thousand (130,000) shares of common stock of the Company at an
exercise price of Thirteen and 50/100 Dollars ($13.50) per share, as evidenced
by a Non-Qualified Stock Option Grant Certificate dated October 23, 1998 (the
"October 23, 1998 Certificate");

         WHEREAS, the Company granted Executive an option to purchase two
hundred twenty thousand (220,000) shares of common stock of the Company at an
exercise price of Thirty-Five and No/100 Dollars ($35.00) per share, as
evidenced by a Non-Qualified Stock Option Grant Certificate dated June 9, 1999
(the "June 9, 1999 Certificate"); and

         WHEREAS, the Company wishes to provide for one hundred percent (100%)
vesting of all outstanding stock options granted to Executive upon a change in
control of the Company.

         NOW, THEREFORE, in consideration of the mutual promises, terms,
covenants and conditions set forth herein and in the Agreement, and the
performance of each, the Company and Executive hereby agree to amend the
Agreement as follows:

1.       The last sentence of Section 2.B. is deleted.

2.       The following Section 2.G. is added following Section 2.F.:

                  G. Other Compensation. During the term of this Agreement, in
         addition to the Base Salary as provided in Section 2.A. or Incentive
         Compensation as provided in Section 2.B. above, Executive shall receive
         other compensation, as described in EXHIBITS C through E, which are
         attached hereto and shall constitute a part of this Agreement.

3.       The last paragraph of Section 4.C. is deleted and replaced by the
         following paragraphs:

<PAGE>   2

                  Notwithstanding anything to the contrary contained in this
         Agreement, in the event of a change (herein a "Change") in the
         ownership or effective control of the Company or in the ownership of a
         substantial portion of the assets of the Company (as such phrases are
         interpreted under Section 280G(b)(2)(A)(i) of the Internal Revenue Code
         of 1986, as amended (the "Code")), a licensed certified public
         accountant (herein the "Selected Accountant") shall be selected by the
         Company and the Executive for the purpose of making a determination as
         to whether the Executive shall have any liability for a tax under Code
         ss. 4999 due to such "Change." If the Selected Accountant shall
         determine that the aggregate payments made to the Executive pursuant to
         this Agreement and any other payments to the Executive from the Company
         which constitute "parachute payments" (as defined in Code ss.
         280G(b)(2)(A)) would be subject to the excise tax under Code ss. 4999
         (collectively the "aggregate payments"), then the Executive shall be
         entitled to receive an additional payment (herein the "Gross-Up
         Payment") in an amount determined by the Selected Accountant such that
         after payment by the Executive of all taxes (including any federal or
         state income taxes and Code ss. 4999 excise tax) imposed upon the
         Gross-Up Payment and any interest or penalties imposed with respect to
         such taxes, the Executive retains from the Gross-Up Payment an amount
         equal to the Code ss. 4999 excise tax imposed upon the aggregate
         payments. If the Selected Accountant shall determine that no Code ss.
         4999 excise tax is payable by the Executive, it shall furnish the
         Executive with a written opinion that the Executive has substantial
         authority not to report any Code ss. 4999 excise tax on the Executive's
         federal income tax return. All fees and disbursements of the Selected
         Accountant shall be paid by the Company.

                  If the Executive is subsequently required by any governmental
         agency to make a payment of any Code ss. 4999 excise tax (and a payment
         of any interest or penalties with respect thereto), then the Selected
         Accountant shall determine the amount of such payments and any such
         payments shall be promptly paid by the Company to or for the benefit of
         the Executive. The Executive shall notify the Company in writing within
         fifteen (15) days of any claim by a governmental agency that, if
         successful, would require the payment by the Company of a Gross-Up
         Payment under the foregoing provisions of this Agreement. If the
         Company notifies the Executive in writing that it desires to contest
         such claim and that it will bear the costs and provide the
         indemnification as required by the preceding sentences, the Executive
         shall (i) give the Company any information reasonably requested by the
         Company relating to such claim; (ii) take such action in connection
         with contesting such claim as the Company shall reasonably request in
         writing, from time to time, including, without limitation, accepting
         legal representation with respect to such claim by an attorney
         reasonably selected by the Company; (iii) cooperate with the Company in
         good faith in order to effectively contest such claim and (iv) permit
         the Company to participate in any proceedings relating to such claim;
         provided, however, that the Company shall bear and pay directly all
         costs and expenses (including additional interest and penalties)
         incurred in connection with such contest and shall indemnify and hold
         the Executive harmless, on an after-tax basis, for any Code ss. 4999
         excise tax or

                                  Page 2 of 4
<PAGE>   3
         income tax, including interest and penalties with respect thereto,
         imposed as a result of such representation and payment of costs and
         expenses. The Company shall control all proceedings taken in connection
         with such contest; provided, however, that if the Company directs the
         Executive to pay such claim and sue for a refund, the Company shall
         advance the amount of such payment to the Executive, and shall
         indemnify and hold the Executive harmless, on an after-tax basis, from
         any Code ss. 4999 excise tax or income tax, including interest or
         penalties with respect thereto, imposed with respect to such advance or
         with respect to any imputed income with respect to such advance. If
         after the receipt by the Executive of an amount advanced by the Company
         pursuant to the previous sentences, the Executive becomes entitled to
         receive any refund with respect to such amount paid, the Executive
         shall within ten (10) days pay to the Company the amount of such refund
         (together with any interest paid or credited thereon after taxes
         applicable thereto).

4.  The last paragraph of Section 4.D. of the Agreement is deleted and replaced
    by the following paragraph:

                  For purposes of this Agreement, "Constructive Discharge" shall
         mean any of the events set forth below which are not cured within
         fifteen (15) days following written notice thereof by Executive to
         Company:

                  (i)      Any material reduction in Base Salary;

                  (ii)     A material reduction in Executive's job function,
         duties or responsibilities, or a similar change in Executive's
         reporting relationships;

                  (iii)    A required relocation of Executive of more than one
         hundred (100) miles from Executive's current job location;

                  (iv)     Any material breach of any of the terms of this
         Agreement by the Company;

                  (v)      Any failure by the Company to grant to Executive not
         later than August 1, 1998 stock options in the amount and on terms set
         forth on EXHIBIT C; or

                  (vi)     Any failure by the Company to grant to Executive not
         later than June 10, 1999, stock options in the amount and on terms set
         forth on EXHIBIT E.

         provided, however, that the term "Constructive Discharge" shall not
         include a specific event described in the preceding clause (i), (ii),
         (iii) or (iv) unless Executive actually terminates his employment with
         the Company within sixty (60) days after the occurrence of such event.

                                  Page 3 of 4

<PAGE>   4

5.       Section 7.A. of the Agreement is amended by striking the phrase "twelve
         (12) months" and inserting in lieu thereof the phrase "twenty-four (24)
         months" each place it appears.

6.       SCHEDULE A to the Agreement shall be renamed EXHIBIT C.

7.       SCHEDULE B to the Agreement shall be renamed EXHIBIT D.

8.       EXHIBIT E which is attached hereto shall be attached to the Agreement
         and made a part thereof.

9.       The effective date for each and every provision of this Amendment shall
         be the date of execution noted below.

10.      Except as specifically amended above, the Agreement shall remain
         unchanged and, as amended herein, shall remain in full force and
         effect.

Furthermore, in consideration of the mutual promises, terms, covenants and
conditions set forth herein and in the Agreement, and the performance of each,
the Company and Executive hereby further agree to accelerate the vesting on the
options granted evidenced by the June 1, 1998 Certificate, the October 23, 1998
Certificate and the June 9, 1999 Certificate in the event of a Change in Control
(as defined in Section 4.C. of the Agreement) so that such options shall
immediately become fully (100%) vested and exercisable in such event.

         IN WITNESS WHEREOF, the parties have executed this Amendment to
Employment Agreement and Agreement to Accelerate Certain Nonqualified Stock
Options to be effective as of June 9, 1999.

                                     COMPANY:

                                     InfoCure Corporation

                                     By: /s/ Richard E. Perlman
                                        --------------------------------------
                                     Title: Chairman
                                           -----------------------------------

                                     EXECUTIVE:

                                      /s/ James K. Price
                                     -----------------------------------------
                                     James K. Price

                                  Page 4 of 4

<PAGE>   5
                                    EXHIBIT E

         A non-qualified option to purchase two hundred twenty thousand
(220,000) shares of Company's common stock at an exercise price equal to fair
market value on the date of grant, vesting over four (4) years from the date of
grant, with such other terms and provisions as may be set forth in a written
option agreement or option certificate executed by the parties.

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