From my experience and understanding of the system.
If propane is above 1/2 and still not working. The propane tank is followed by a control valve, which is usually connected to a gas detector unit inside the cabin. This should be a on off switch and usually located near the cabin flooring at feet level. The propane system is allowed to work only if this is witched on and ready(takes about 10 secs of beeping). After that, the air in the piping needs to be flushed by the propane coming out and it takes about a minute with 'a' burner opened and you closely smelling for gas and lighting every 10 secs for safety. This can take longer depending on colder conditions. Though propane does not freeze like butane, it does slow down.
If this works and 'a' burner lights up, light up all the other burners and let them run for 30-60 secs. This will get the propane running. After which, the refrigerator and water heater should work. Those systems have a continuous automatic ignition system like a home water heater and if listening carefully or standing outside near the exhaust outlets for the Fridge or the heater, you can hear the sound.
Propane generators are notorious for not starting without enough propane pressure and/or shutting down below 1/2 gas(1/4 during summers) tank to protect other systems.
So, process of elimination, would be to fill the propane tank and take it step by step. If still it is not working for the stove, then it is the valve not opening mostly because of not switching on. It is unlikely that it is damaged and only 10% chance that fuse is blown. Propane to the stove is straight forward and simple after the valve.
Good luck with the problem trace