Water permeable threshold

This isn't good. There's some rare rain here in L.A., and we're learning interesting things about the house. Among them, this door frame isn't stopping the flow of water.

Another surprising one, when our awesome (and by "awesome" I mean "lousy") plumber installed the outdoor GFI plug to provide power to the water heater he didn't do enough to water proof it. It blew its fuse last night and then refused to be reset. Probably just a faulty piece of equipment, but still, shouldn't an outdoor water heater be able to resist water?