Oops-
The black wire, the one with the inline fuse, should be connected to the positive battery terminal. The brown wire is connected to the negative. Switch them around, and as long as everything else is correct your lights should work. Also check to be sure that the fuse isn't blown.
The outside lights are indeed the low beams, and the inside are the highs. The small bulb in the high beam housing is a "city light" that comes on with the parking lights.