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To address your second question. The requirement for a battery to "rest" applies when it has just been charged. In that circumstance, the battery voltage will read high until the surface charge has dissipated. However, applying a load (such as your refrigerator) to the battery will dissipate the surface charge much more rapidly. After that, you really only need to flip your fridge off just long enough for the battery voltage to stabilize--probably no more than a minute or so.