Assuming you have a converter feeding a 12VDC FUSE PANEL...
This is typical wiring block diagram for the 30AMP system...

I would work towards using a converter/charger and install a Power Distribution Panel which supports all of your 120VAC circuit breakers and 12VDC Fuse panel...
Typically the 12VDC power distribution panel id fed by both the converter/charger and the battery. This is the way things like your ceiling lights can work when you are plugged into shore power or running off your battery.
This is what a typical POWER DISTRIBUTION PANEL with the Converter/Charger installed in the bottom compartment looks like

If your trailer does not have one of these it would be good idea to get one installed where you can have all of your power items in one location separately feeding all of your 120VAC and 12VDC circuits.
Who knows what the fire dept did to your trailer...
Roy Ken