X3 on the low voltage. Been there. I keep a voltage monitor onboard. The shop where I bought my first trailer strongly recommended it after we had the A/C in for service subsequent to a series of brown-outs we had a local campground.
Apparently the new A/C units have built in protection now for power drops, but never investigated if the compressor can still be damaged from low voltage.
Our trailer is wired for second A/C, so we're running a 50 amp circuit and it appears that we have less issues running 50 vs. 30 at the mom and pop campgrounds.
While I've seen different numbers posted to various rv sites, I usually kill the A/C if I drop below 108v.
Great investment. Also monitor for other issues such as open ground, open neutral, and polarity issues. You can get it here at Amazon.