<PAGE>

                                                                  EXHIBIT 10.29

              AMENDMENT NO. 1 TO RESTRICTED STOCK AWARD AGREEMENT

   AMENDMENT NO. 1 TO RESTRICTED STOCK AWARD AGREEMENT (this "Amendment"),
dated as of November 20, 2002, by and between Plains Exploration & Production
Company, a Delaware corporation ("Company"), and James C. Flores ("Grantee").
Undefined capitalized terms are defined in the Agreement (as defined below).

   WHEREAS, Company and Grantee entered into the Restricted Stock Award
Agreement, dated as of September 25, 2002 (the "Agreement");

   WHEREAS, Company and Grantee desire to enter into this Amendment to change
the Grant Date;

   NOW THEREFORE, in consideration of the premises and other good and valuable
consideration, the parties hereby agree as follows:

      1.  The preamble of the Agreement is hereby amended by:

          (a)  deleting the phrase "effective date of the initial public
       offering of the Company's common stock in the public securities market"
       and replacing it with the phrase "date on which all of the shares of
       Company common stock held by Plains Resources Inc. ("PLX") are
       distributed to PLX's stockholders"; and

          (b)  deleting the term "2002 Stock Incentive Plan" and replacing it
       with the term "2002 Transition Stock Incentive Plan".

      2.  Section 1 of the Agreement is hereby amended by changing the section
   reference therein from "9" to "6". Section 8 of the Agreement is hereby
   amended by changing the section reference therein from "13" to "8".

      3.  Effect on the Agreement.  Except as specifically amended or waived by
   this Amendment, all terms and conditions of the Agreement shall remain in
   full force and effect. The term "Agreement" used in the Agreement shall mean
   the Agreement as amended hereby.

      4.  Counterparts.  This Amendment may be executed in counterparts each of
   which shall be deemed to be an original but all of which shall constitute
   one and the same agreement.

      5.  Governing Law.  This Amendment shall be governed by and construed in
   accordance with the laws of the State of Delaware, without regard to its
   principles of conflicts of law.


                           [Signature Page Follows]

                                      1

<PAGE>

   IN WITNESS WHEREOF, each of the parties have caused this Amendment to be
executed on its behalf by its officers thereunto duly authorized on the day and
year first written above.

                                              PLAINS EXPLORATION & PRODUCTION
                                              COMPANY

                                              By:      /S/ JOHN T. RAYMOND
                                                  -----------------------------
                                                         John T. Raymond
                                                            President


                                                       /S/ JAMES C. FLORES
                                                  -----------------------------
                                                         James C. Flores

                                      2