[Myka]

The red fuzzy stuff is turf algae...not good. It should go away on its own once your system has established provided you keep nutrients low.

The green "chunky" stuff is Halimeda. Some people like it, but is can go rampant and grow all over the place out of control and eating up your calcium reserves. I personally think it is better to keep it in the refugium or otherwise contained away from the display tank.

The yellow thing is a sponge. It is a beneficial filter feeder which essentially helps to clean the water.

The green stringy stuff is hard to tell from the pic...it could be Bryopsis hair algae starting, or it could be a type of elongated Bubble Algae. Neither are good.

The best way to be rid of algae is to lower your nutrients, as well as natural predators. Take a look at the algae link in my signature to help you with that.