Just FYI, the SAT/0566 code is not the right code for RCA's DirecTV, the real code is SAT/0362, but it's not in the Cinema 7 for some reason (it's in the 15-1994).
Like Glenn said, using the JP1 stuff, you would be able to definitely create a new code for the SAT, and possibly for the Aiwa.
In the meantime, you could just learn the SAT buttons that don't work.
Get's lots more info on the Cinema 7 at
http://www.hifi-remote.com/Rob.