If it's a refrigerator problem, I would look towards the rear circuit board first. It sounds to me like you probably have an issue with your inverter. The refrigerator operates on 12V DC, not AC. So when you unplug it, it should stay on and simply start working on the LP side of things. Try hooking the refrigerator up to an independent 12V battery. It should work perfectly fine when you unplug the unit from AC at that point. You most likely have something called AC ripple caused from a bad inverter. Anyhow, checkout The Dometic Guy to see if they can help: The Dometic Guy Dometic RV refrigerator parts and products for sale
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If it's a refrigerator problem, I would look towards the rear circuit board first. It sounds to me like you probably have an issue with your inverter. The refrigerator operates on 12V DC, not AC. So when you unplug it, it should stay on and simply start working on the LP side of things. Try hooking the refrigerator up to an independent 12V battery. It should work perfectly fine when you unplug the unit from AC at that point. You most likely have something called AC ripple caused from a bad inverter. Anyhow, checkout The Dometic Guy to see if they can help: The Dometic Guy Dometic RV refrigerator parts and products for sale