The outlet in your Dad's was likely a 240v 50A outlet for a welder. The 30 amp adapter for your RV shouldn't have fit very well. Sometimes people forget that just because you can get something to jam into an outlet doesn't mean you should.
If your RV is a 50A service and you used a 30A male to 50A female adapter you would have had 240v between the hot legs of the 50A service and the neutral. That would likely burn out the frig. element. If your converter is a dual voltage input it's probably not damaged. If your AC unit was off it's likely not damaged either. I would suspect if you had a microwave plugged in it may have suffered.
I agree that if the ref. works on gas the board should be fine. I'd check out everything thoroughly including the converter, TV, etc.