Going to go out on a limb here and suggest...
Unplug your camper from shore power, turn on the inverter, see what still works.
Then turn it off, and see what doesn't.
I'm sure others can just tell you what will and wont work on inverter power ( I could guess) but I recommend the hands on approach in this case
It's likely your inverter is 'powering' more plugs than you can safely use if you have too much stuff running on those circuits. Not sure how many watts yours is rated for.