The fridge should draw 5A, but only about 50% of the time, so in a 24 hour period it will draw 60A.
I would use a fuse that covers the power requirement that you're likely to use. Since you're charging that battery down in the tub with the battery up front, you could see a large amount of power heading down - and really, if you've dropped a deep cycle battery in the tub, you don't want to be dumping power in there.
I would use about 30A, and use a thermal-reset breaker type so that you don't have to keep replacing the thing. If there's an overload/short, the breaker heats up and trips. When it cools, it automatically re-establishes the connection and continues this cycle until you rectify the problem. This means if there's a momentary "oops" down the back, you only need to wait a short time (I believe no more than a couple of minutes) and the breaker sets itself again.
If you use higher, you run the risk of dumping power too fast to the aux battery and that will destroy it.
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