Personally, I'd try and find something else to connect to the amp and see if you get the same kind of results.
What I think I hear you saying is with the amp alone connected to the speakers, no noise. With your cdplayer attached whether plugged in or not, there is some noise. That don't sound right, to me, and not that I would necessarilly blame the amp.
But I'm just a layman and I just drive the thing and listen.
That just seemed the logic of it to me.
Ah, here's another question, have you tried the cdplayer on any other inputs?
Just a thought...
DF