I can't address the black water tank valve.
I'm not familiar with your particular trailer so this is a general explanation. The outside outlet should be on the GFI circuit. The GFI outlet is usually located in the bathroom or the galley and all the GFI outlets are controlled by the one outlet, i.e. if the ground fault on that outlet trips, you lose power to all three outlets. Pushing the reset button on the GFI outlet should restore power to all three outlets. If it trips again you need to determine what is causing it to trip.
If you have power to the bathroom and kitchen outlets, but not the outside outlet you have a problem with the wiring to that outlet, which may be difficult to trace.
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