You are slightly confused.. It happens.. Very few new owners have experience with dual voltage systems.

I am "lucky" in that in my career, I dealt with triple and quad systems. I have worked on some equipment that could use 120v 60 cycles, 240v 50 cycle, 12v DC and 48v DC. Or any combination of the above as needed.
The 120v and the 12v system are completely separate. The only place where they have any "connection" is the converter/charger sending 12v to the batteries and the Pod (or any other camper for that matter) when,
and only when, it has 120v available to "convert" 'tis a one way circuit. 12v can't and won't, go backwards through it.
If the Pod is not plugged in to shore power, or a generator, EVERYTHING 120v is dead. everything.
The breakers ONLY control power on the 120v side of the system.
The fuses only protect the 12v circuits. As long as 12v is available, the circuits will remain powered, without shore power and regardless of any breaker position. 12v can be available from the battery, the converter/charger, or a solar array.
David's comment on the breakaway switch is a good thing to check. To drain a fully charged battery in 3 hours, it has to be a short, the fridge on 12v, or the breakaway. Nothing else supplied with the Pod draws amps that fast.
This is just a little simplified, it doesn't include solar as a 12v source.. but it works..