X2 on more info needed. Some thoughts:
If you are on 30A best to run only 1 A/C as 2 can be marginal. 2 on the gen might be OK depending upon the gen capability. Your A/Cs etc may require 12V for control and hence with discharged batteries they don't work. Assuming you are not using the inverter I would hope that the batteries would last overnight without shore power. Suggest you have them load checked to determine their condition. Apparently you know the GFCIs were incorrectly replaced, suggest you leave that circuit off until corrected. Maybe your charger is on the GFCI circuit and hence dead batteries?
Assuming road side assistance jumped the chassis battery how long did you drive or run the gen to get the house batteries charged - hours need for this.
Hope some of this helps.