Any agent that says United MP members earn EQM or RDM on Copa is misinformed.
Mileage Plus members do *not* earn any kind of miles on Copa. Full stop.
CheapDad98, I strongly suggest calling both MP and OnePass customer service to see if you can get the FF number switched from UA to OnePass (if you have it).
My suggestion for anyone flying Copa is to use or open a OnePass account, in the hope that these miles will somehow be counted when the two programs combine in 2011 or 2012.