I've got some algae in some rough areas of my plaster that I can not get rid of so at some point during the winter I plan to empty the pool. While empty I plan to spray the areas with bleach and then let it dry out for a couple weeks .

Does this sound like a good approach to getting rid of it?

Not sure if it is black algae or what but it is only located in a couple areas where the plaster is pitted.

I'd also like the give the tile a good cleaning.. any suggestions on a good product to use?