Interesting about caravan fridges packing up 'permanently' because they are parked on slopes, however while modern ones won't actually work on a slope of more than 5 degrees and older ones 3degs, once levelled they will with no damage done permanent or otherwise!
Ian (fancy meeting you here!) as you now say it works on gas ok, then it has to be either no supply to the fridge, the possibility of a faulty switch or faulty thermostat stopping a good supply getting to the element, or more likely the element is at fault.