Document:

<PAGE>

                                                                     Exhibit 4.4

                                SECOND AMENDMENT
                            TO THE RIGHTS AGREEMENT
                            DATED AS OF JULY 9, 1999
                          BETWEEN NOVA CORPORATION AND
                    FIRST UNION NATIONAL BANK, RIGHTS AGENT

     THIS SECOND AMENDMENT (the "Second Amendment") to the Rights Agreement
dated as of July 9, 1999 between NOVA Corporation and First Union National Bank,
as Rights Agent, as amended by that First Amendment dated August 3, 2000 (the
"Rights Agreement") is made to be effective on the 10th day of November, 2000 by
NOVA Corporation (the "Company").

                              W I T N E S S E T H
                              -------------------

     WHEREAS the Company has established the Rights Agreement;

     WHEREAS, Section 27 of the Rights Agreement permits the Company to
supplement or amend any provision of the Rights Agreement, subject to certain
conditions, without the approval of the holders of the Rights, in any manner
which the Company may deem necessary or desirable and which shall not adversely
affect the interests of the holders of Rights Certificates;

     WHEREAS, the Company deems it necessary and desirable to amend the Rights
Agreement in order to revise the provision addressing a change of Rights Agent;

     NOW, THEREFORE, the Company hereby amends the Rights Agreement as follows:

                                       1.

     Section 21 shall be amended by deleting in the fifth sentence "$50,000,000"
and inserting in lieu thereof "$10,000,000."

IN WITNESS WHEREOF, the Company has caused this Second Amendment to the Rights
Agreement to be duly executed as of the date and year first above written.

Attest:                                 NOVA CORPORATION

By:  /s/ Carole A. Loftin               By:  /s/ Stephen M. Scheppmann
     -------------------------               --------------------------------
     Carole A. Loftin                        Stephen M. Scheppmann
     Vice President and                      Executive Vice President
     Assistant Secretary                     and Chief Financial Officer<PAGE>

                                                                   Exhibit 10.22

                            AMENDMENT AND EXTENSION
                                       OF
                          MARKETING SUPPORT AGREEMENT
                          ---------------------------

     THIS AMENDMENT AND EXTENSION OF MARKETING SUPPORT AGREEMENT (this
"Amendment") is made and entered into as of this 8th day of November 2000, to be
effective as of October 1, 2000, by and among First Union National Bank, a
national banking association ("FUNB"), First Union Corporation, a North Carolina
corporation ("FUNC"), NOVA Corporation, a Georgia corporation formerly known as
NOVA Holdings, Inc. ("Holdings") and NOVA Information Systems, Inc., a Georgia
corporation ("NOVA").

                              W I T N E S S E T H:
                              --------------------

     WHEREAS, NOVA, Holdings, FUNB, First Union National Bank of Florida ("FUNB-
FL"), First Union National Bank of Georgia ("FUNB-GA"), First Union National
Bank of Maryland ("FUNB-MD"), First Union National Bank of North Carolina
("FUNB-NC"), First Union National Bank of South Carolina ("FUNB-SC"), First
Union National Bank of Virginia ("FUNB-VA"), First Union National Bank of
Tennessee ("FUNB-TN"), First Union National Bank of Washington, D.C. ("FUNB-DC")
and First Union Bank of Connecticut ("FUBC") entered into a Marketing Support
Agreement, dated as of January 31, 1996 (as amended, the "Marketing Agreement");

     WHEREAS, in connection with the Marketing Agreement, NOVA, Holdings, FUNC,
FUNB, FUNB-FL, FUNB-GA, FUNB-MD, FUNB-NC, FUNB-SC, FUNB-VA, FUNB-TN, FUNB-DC and
FUBC entered into a Shareholders Agreement, dated as of January 31, 1996 (as
amended, the "Shareholders Agreement"), and NOVA, Holdings and FUNB-NC entered
into a Depositary and Settlement Agreement, dated as of January 31, 1996 (as
amended, the "Depositary Agreement");

     WHEREAS, FUNB-FL, FUNB-GA, FUNB-MD, FUNB-NC, FUNB-SC, FUNB-VA, FUNB-TN,
FUNB-DC and FUBC have heretofore been merged with and into FUNB, a wholly-owned
subsidiary of FUNC; and

     WHEREAS, the parties hereto now wish to amend and extend the Marketing
Agreement and to set forth certain other agreements as more particularly
described herein;

     NOW, THEREFORE, in consideration of the premises, the mutual covenants
contained herein and other good and valuable consideration, the receipt and
sufficiency of which are hereby acknowledged, the parties hereto agree as
follows:

Section 1.  Compensation for Referrals of New Merchants.  Section 2.1 of the
            -------------------------------------------
Marketing Agreement is hereby amended by adding the following new Section
2.1(f):

               "(f)  NOVA shall pay to FUNB compensation for each Merchant that
     enters into a New Agreement during the period between October 1, 2000
     through the remainder of the term of this Agreement as a direct result of
     the referral of such Merchant by a Bank pursuant to Section 2.1(a) of this
     Agreement, as described on Schedule 2.1(f) hereto."
                                ---------------

Section 2.  Schedule of Compensation for New Merchant Referrals.  The Marketing
            ---------------------------------------------------
Agreement is hereby amended by adding thereto the new Schedule 2.1(f) attached
                                                      ---------------
hereto.

Section 3.  Compensation for Cash Advances.  Article 3 of the Marketing
            ------------------------------
Agreement is hereby amended by adding thereto the following new Section 3.2:
<PAGE>

          "3.2  Cash Advance Revenues.  During the period between October 1,
                ---------------------
     2000 through the remainder of the term of this Agreement, NOVA shall pay to
     FUNB fifty percent (50%) of the gross income received by NOVA from Cash
     Advances made by Banks pursuant to this Article 3. All amounts payable
     under this Section 3.2 shall be paid in arrears on a calendar quarter basis
     within forty-five (45) days of the end of each calendar quarter."

Section 4.  Extension of Term of Marketing Agreement.  The existing Section 4.1
            ----------------------------------------
of the Marketing Agreement is hereby deleted in its entirety and replaced with
the following new Section 4.1:

          "4.1  Term of Agreement.  The parties agree that the term of this
                -----------------
     Agreement shall extend from the date hereof until January 31, 2008, and
     shall thereafter be automatically extended for consecutive one-year renewal
     terms, provided neither party gives written notice to the other of its
     intent not to renew not less than 120 days prior to the renewal date."

Section 5.  Acquisitions of New Merchant Portfolios.  The parties hereto
            ---------------------------------------
acknowledge and agree that Section 3.10 of the Shareholders Agreement shall
continue and remain in full force and effect through the later of (a) the date
on which the Shareholders Agreement terminates or expires in accordance with its
terms and (b) the date on which the Marketing Agreement terminates or expires in
accordance with its terms.

Section 6.  BIN and ICA Numbers.  The parties hereto acknowledge and agree that,
            -------------------
during the term of the Marketing Agreement, all existing First Union Merchants
(as defined in the Depositary Agreement) and all New Merchants (as defined in
the attached Schedule 2.1(f)) shall be cleared through BIN and ICA numbers
designated by FUNB and, as compensation, FUNB or its designated subsidiary shall
charge NOVA a competitive rate for such services, which in no event shall exceed
the rate that FUNB or its designated subsidiary would charge a third party for
such services.

Section 7.  Acknowledgements and Agreements.  The parties hereto acknowledge and
----------  -------------------------------
agree that (a) the term "Bank" as used in the Marketing Agreement shall be
deemed to include FUNB and each other banking subsidiary of FUNC whether now
existing or hereafter acquired, and (b) the term "First Union Entities" as used
in the Shareholders Agreement shall be deemed to include FUNC, FUNB and each
other banking subsidiary of FUNC whether now existing or hereafter acquired.

Section 8.  Full Force and Effect; Counterparts.  Other than as specifically set
----------  -----------------------------------
forth in this Amendment, the Marketing Agreement, the Shareholders Agreement and
the Depositary Agreement shall remain unaltered and in full force and effect.
This Amendment may be executed in any number of counterparts, all of which taken
together shall constitute one and the same instrument.

                        (Signatures appear on next page)

                                       2
<PAGE>

     IN WITNESS WHEREOF, the parties hereto have caused this Amendment to be
duly executed as of the date first above written.

                                    First Union National Bank

                                    By: /s/ Carey J. Bowles
                                       --------------------------
                                      Name:  Carey J. Boweles
                                      Title: Vice President

                                    First Union Corporation

                                    By: /s/ M. F. Terbrueggen
                                         ------------------------
                                      Name:  M. F. Terbrueggen
                                      Title: Senior Vice President

                                    NOVA Information Systems, Inc.

                                    By: /s/ Edward M. O'Hare
                                        --------------------------------
                                      Name:  Edward M. O'Hare
                                      Title: Vice President

                                    NOVA Corporation

                                    By: /s/ Steven M. Scheppmann
                                        --------------------------------
                                      Name:  Steven M. Scheppmann
                                      Title: Chief Financial Officer

                                       3
<PAGE>

                        Schedules Intentionally Omitted

Source: [{"source": "alea-institute/alea-institute/kl3m-data-edgar-agreements/train-00023-of-00352.parquet"}, [{"source": "alea-institute/alea-institute/kl3m-data-edgar-agreements/train-00023-of-00352.parquet"}]]