Fuel below about 1/4 of the tank will shut down the generator. A water temp sender and a low oil sender will also shut down the generator as a form of damage protection.
Are all liquid levels acceptable?
It sounds like two separate events. One in which the generator itself shut down and the other where the power produced turned off but the generator kept on running.
Since the AC and TV would be on separate circuits, the second shutdown probably occurred at the generator.
Did you check the breaker on the generator?
It is possible that you cannot run two AC units plus a battery charger and maybe an electric water heater or refrigerator all at the same time on your rig .
Or perhaps your house batteries were low and the battery charger plus the AC unit overloaded the generator and caused the breaker to flip.
Did you shut the genset down and restart it on the second event? If so, did the 110v power come back on?
If not a status or overload problem, the generator itself might have an issue. If you have some warranty, take it back to the Dealer.
1995 CC Magna #5280
C8.3L 300hp Cummins, 31,000lbs