First off sorry about your husbands passing, but happy to see you are still using the rig!
Most likely the all will work while running. Myself I would run the generator, not only for power but it will keep the frig. running and the AC. That may make traveling with grandchildren a little easier.
Make sure your propane tank is full, you should however not use very much. Is it blowing the camper breaker, house breaker or the GFI outlet. You most likely do not have enough power to run much more than the frig. off house current, so make sure all 110 stuff is off. If you are tripping the GFI outlet try moving to anyother outlet and see if there is a change.
Retired and never looked back