What’s Wrong Here? Hint: Sky High

Receptacle cover needs to be weather proof in use type

it's also within six feet of the window, is it a gfci or gfci protected

At the present time I see no violation. Everyone else is speculating on what they see, so here it goes. It is a GFI receptacle for a heat tape that is keeping the gutter from freezing. At the time of installation it was most likely code for the cover. You could make a case for a strap within 36 inches or possible expansion joint. Just because we are working out of the 2011 NEC code book does not mean all work that was done previously to the newer code is not code.

Conduit is being used to support communcation lines