The brown patches could be brown cyano or lobophora if it starts matting up and scrolling (there are other possibilities). It's strange that it's in so many tiny patches and not fewer larger ones.
Edit: guess I should be more specific, I meant lobophora variegata.
I will try to take more pictures when I get home, I usually find them at night, and their shell does look flat. Guess I will pull them out of water.
For the algae, they only show up on the rock that direct under the light, and only in small patches.