Hi again Andrew, check what sort of plug you have on your fridge, if it looks similar to a cigarette type plug, it may be a combo plug that can be used in a cigarette power socket or in a Merit power socket.
Merit plugs usually have a red tip and this can be removed to use in a merit power socket or left in place so the plug can be used in a cigarette socket.
As to the battery, there is no reason why you can not use a deep cycle battery for an emergency jump start, just don’t use it to jump start all the time.

