Everything you're describing is perfectly normal. The air bubbles you are seeing is the release of carbon dioxide. The dry hops cause this. Basically, the hops are "un-carbonating" your beer somewhat. The first time I dry hopped I was concerned about this as well. As for the "two layers" at the bottom, well, from the picture it looks like you are talking about the layer that is stuck to the side of the carboy just above the bottom yeast layer? If so, this is actually settled yeast that has deposited itself on the side of the carboy. If that's not what you are talking about, then it is probably either sediment that is in the process of settling out or some cloudiness caused by the dry hops. When I dry hop, the beer always comes out a bit cloudy.
Don't worry.....your batch is just fine and will be quite tasty I'm sure.