Are both the 120V AC and the 12V power off? And are you plugged into a power pedestal?
If you have no 120V AC, my first check would be the pedestal to make sure there is electricity at the connector. Also check your power cord connections. If there is power at the campground receptacle, and your connections are good, and you have the Progressive Industries EMS, check that it hasn't rejected your connection. Put the bypass switch in the bypass position (up). If power comes back on, the EMS will show a code that tells you what it finds wrong with the connection. In most cases, a fault that shuts down the EMS is enough of a problem that you should move to another site or have the campground electrician fix the fault.
Even with the battery disconnect off & the trailer plugged into a power pedestal, the converter would supply 12V. It does need to be on if you are not plugged into a power pedestal in order to get 12V to the appliances, lights, etc.
The fuses are 12V only - the circuit breakers are for the 120V circuits. Check that they are on by shutting each off then back on. If you have the all receptacle option & an inverter, check the breakers in the sub panel (usually under the seat near the panel for the fuses & breakers).
As to chilly night, your furnace runs on 12V & propane. If your batteries are full enough, you should be able to run the furnace overnight, at least at a low temperature setting.