Setup your RC5200 in learn mode then do a very short single tap on the Pause button and see if that will work for a learn.

However, it seems that you've got an issue with Pause on your player. Please post the hex data for the pause code that puts the player into "strobe" mode and we can see if there's anything we can do with it. Perhaps a slight tweak will make it work on the RC5200 in a way that is acceptable.