Bishop v Rook

Here is a recent position reached in one of my games, in the game I ended up winning, but I want to take a closer look at the position. It seems the inital thing white should do is use his king to block the passed pawn, but can black promote his pawn advantage against the rook?

upside down boards get me every time!

should be a draw, from what i can tell. black's forward pawn is froze by the rook. the white kings comes over to free it up, but the rook has a hard time accessing the black king. the rook chases the king around after some pawns get shuffled, and black could force a 3 move repetition. if that doesn't happen, everything will eventually get cancelled out until you have insufficient mating material (the two kings and the bishop).

if you won this game with black, then white had to have blundered. 

Black should lose he can not push his pawn 0-1

that just means black doesn't win (which apparently they did). where is the line for a possible white mate? they are committed to stopping that pawn, which negates their material advantage.

I am envisioning placing the king there, allowing the rook to take on the pawns.