Sounds like your refrigerator is fixed; at least it is operating normally for the "automatic" operation. If AC is available (plugged in, breaker on), then is should be using the AC for cooling. When the AC goes away, then it should seamlessly switch over to gas. When AC, again, becomes available, it should also, seamlessly, switch off of gas and back to AC.
BTW; something, even a lot of longtime RVers don't know or do, when connecting or disconnecting from the pedestal:
1)
If you test the pedestal for safety (and everyone should), this is the time to do it.
2) Plug your trailer into the AC cable
3)
Make sure the breaker on the pedestal is OFF
4) Plug your cable in
5)
Turn the breaker to the ON position.
When leaving, always, turn the breaker in the pedestal to OFF before unplugging (and you should unplug from the pedestal first, trailer last when leaving) and leave it that way after disconnecting your cable so that the next user comes into the site with the breaker OFF (just a courtesy). The lines in blue are the steps that, even longtime RVers, sometimes fail to follow.
Plugging in or unplugging a hot plug at the amperage that we're using, arcing occurs inside the plug between the plugs contacts and your cable's lugs...this, over time, degrades the connection which raises resistance in the connection leading to decreased current and speeding up the degradation process. When I had a 30 amp trailer (our beloved 210WBS) I always used a 30 amp to 50 amp adapter so that I could use the 50 amp plug...since it is used less the plugs are usually in better condition; cleaner power lower, less resistance, higher amperage.
Yes, I feel for you, the "single" lady on her own, when it comes to this sort of thing (I think my wife of 45 years only keeps me around because, in the long run, I'm cheaper than repair shops
) since many, even though perfectly capable are "trained" that they can't do the maintenance themselves, and it certainly isn't your fault, its just the way our society works. Whenever we are out on one of our trips, I always keep an eye out for the traveling single lady as I'm of the old school and don't mind in the least rescuing a "damsel in distress" if the need arises. I admire your tenacity in taking on the RVing experience and wish you all the luck in the world.