So as to not leave the thread hanging...
The first time around, I violated one cardinal rule of electrical/electronic servicing: Don't test while ill or fatigued! Retesting the harness at the relay reveals that all circuits to it are intact; the relay is bad.
There are two other identical relays (all made by Omron) mounted adjacent, for rear-seat power port and rearview-mirror heat. Substituting each of these brought no joy; they're all malfunctioning, it appears. I've done some cursory checking online, and can't find this exact relay (the connector pattern does not match what appears online or in the service manual referenced above), so I wonder if this is a mid-year change. In any event, I've seen prices of up to $25.00 for it. Does anyone know of a supplier with a cheaper price? Substituting an aftermarket relay (with the same current capacity, of course) wouldn't be too much trouble, the vehicle is 14 years old, after all.
NismoPick, your system's front-amp relay may have gone bad as well, it's worth a test. As for your reception problem, initially I'm suspecting a bad connection at either end of the antenna lead-in, or perhaps damage to the cable. How is its AM reception?