No, it will be more productive to go forward with just what you have. Some background: a setup code has three main aspects: 1) the IR protocol, which is the pattern of light flashes that define zero and ones. 2) a device number, and 3) function numbers that are associated with individual buttons. Setup code 0782 means NEC1 protocol, device 1. Obviously the function numbers in 0782 don't match what your DVD player expects. For UEI remotes, including the RCRP05B, the function numbers (called EFCs or advanced codes) are known for each setup code. I looked up the EFC for Power on 0782, which turns out to be 00106, and then searched for other setup codes that are NEC1, device 1, and which assign 00106 to Stop. There aren't any.

We expect that the possible EFCs run from 00000 to 00255, so it is practical to search exhaustively and discover the function performed by any of the 256 possible EFCs.

First, here is the procedure to test any EFC. Assign setup code 0782. Then, 1) press Setup briefly, and 2) enter in the EFC. When you enter the 5th digit, the remote will send that command to the DVD player. Start at 00000 and work your way through the 256 EFCs.  Shoot 00106 at the beginning of testing to convince yourself that you are doing it correctly.

If you find an EFC you like, it can be stored persistantly on a button of your choice (except device buttons, and Setup) by using the 994 EFC keymove procedure at
www.hifi-remote.com/forums/viewtopic.php

Edited to fix my confusion between  Power/ Stop  and Power/Eject