Glad you had a good time despite the problems.
It sounds like you may have had 2 (or more) issues. The water pump and the exhaust fan both not working would make me think that the 12 volt
circuit that feeds these items was not working. A loose fuse or a corroded fuse on the 12 volt
distribution panel would be my first guess. When the fan started to work, did you try the water pump with the normal wires?
The clicking converter and failing Compressor might be related to the shore power at the campground. Did you measure the voltage and/or check the polarity?