nick13,
I can't answer all of your questions exactly but can help with a general fridge opinion/myth.
Most fridges, up until recently, were gas absorption fridges. They work by heating a gas/liquid mixture which then travels through various bits of pipework and then thanks to the laws of thermodynamics sucks warmth out of your fridge and cooling it down.
Two things are definitely true.
1. The fridge needs to be relatively level for the gas/liquid combination to travel properly through the pipework, irrespective of the heating source.
2. The fridge works by heating the gas/liquid combination in a boiler. The heat source can be a gas jet, a 230Vac element or a 12Vdc element. It doesn't matter how the heat is produced for the boiler. If the fridge works on 230Vac it should also work on a gas flame. providing the gas jet is clean and unobstructed.