I have a 02 Acura RSX base w/Automatic Trans. I replaced my bad trans with one out of a running 05 and it won't shift from first gear. The trans out of the 05 was running good, If I change the PCM module to a 05 PCM will it make to trans issue disappear?

 

I highly doubt it. There are several differences between the 02-04 and the 05-06 RSX. Recommend you talk with whoever advised you to do this and those who did the swap and confirm what's need to be done to get this resolved.