You are turning off battery power. The stuff you are listing are 120 volt items. To turn them off, find the circuit breakers ( look like home style ). Leave the converter breaker on, that keeps your batteries charged.
You can leave them on, if plugged in, they don't use battery power.
As far as the engine battery, Someone familiar with your rig, can tell you if your charger charges the engine battery. If not, there are fixes for that.
If you have an Inverter, that makes 120 volts, with the power cord unplugged, refer to the last post.
Your engine battery could be shot, they don't do well sitting dead. Take it to get tested.