Originally Posted by mogwai

Okay... Quick update:

1. In the time between the first post and now, the trickle charger went from yellow (charging) to green (charged), so the battery itself is probably fine.
2. I had my wife listen while I cranked and after I explained where the clicking noises can originate, she concurs that it is the solenoid, not the relays on the driver's side under the hood or under the dash (noise is coming from driver's side engine bay, and is quieter to me with door shut)