Here's an update:
I got a hold of my guy on the phone (turns out he was waiting for my call last night, they just forgot to transfer the phones from the front office). He has me run the "default." Try to play a CD, still not working. He suggests I take a q-tip and clean the lens with some alcohol and try again in ten minutes and call back.
As soon as I get off the phone, I try another CD, just to see. It plays! I try another CD. It plays!
I try a third (and fourth and fifth) CD... back to the same problem of picking up and putting down with no music... dang. (I clean off the lens to see if that helps, no luck.)
I call in and tell him about this. He thinks something is wrong with my player that may have happened in transport.
SO... I'm going to remove the player this weekend. On Monday, I'm taking it back to Kansas City, and he's going to trade me a working player to install back in my machine.