Not sure on the electrical troubleshooting.
Propane - dumb, but make sure the propane tank is open and if you've got two tanks that you're drawing from the open one.
The refrigerator is almost last in line for propane to flow to, so make sure your stove works, the water heater and then you should get propane to the fridge - can you hear it click as it tries to ignite?
And - battery won't power the fridge. In the "auto" mode if connected to shore power it should be AC powered. When disconnected from shore power it should automatically revert/convert to gas. Or - in the "gas" mode it stays propane all the time.
Let us know what your find.
2012 FunFinder X 210UDS
4-68 watt flexible panels; 1-215 glass panel/4 Battle Born LiFePO4 Deep Cycle Batteries
2014 Ford F350 6.7 Liter PowerStroke V-8 Diesel longbed, SRW