[Auf los!]

Thanks, folks. Burg, I will fit one of those isolators, and bran, if you are referring to the antenna cable, I tightly bundled the extra cable the way CAI recommends. I bet the isolator will solve the buzz.

Still getting the "you left your console open" beep when I put the alarm on, though! I opened and closed the console and both trunk lids, still getting it. I checked on the anti-theft ground tab touching the radio chassis, bent it a little to make sure it's touching, and lightly sanded it for a good connection. Still getting the beep. I seriously doubt I disconnected that ground where it connects to the car, even with all the pulling the radio chassis in and out.

What else could be causing the beep? I need to have a working alarm...