1) I removed the trim from the trunk and the foam insert last night. It doesn't appear there was any water or condensation around that area. Should I remove the black module and open it up to check inside it?

2) I attempted to charge the battery and that was a fail. It gave the battery enough juice to power the dash indicator lights and the radio to power on. When I attempted to start the car it gave one "click" and then stopped. After that point the interior dash lights and radio had no power to turn on.