Well, you have a whole ton of different algae types, and aiptasia (pest anemones). First thing's first, remove as much of the algae as you can by hand. Throw it in the trash. You can get into hard to reach places using tweezers. Next, get 4 or 5 peppermint shrimp to start trying to get rid of the aiptasia. If you don't get rid of the aiptasia, they will end up killing other things in your tank -- they're awful pests.
The slimy red stuff is cyanobacteria, and the dusty red stuff are diatoms. These are also forms of algae. Once you've removed as much as you can by hand, you're really going to have to start trying to get your water quality in better shape. What are your nitrates reading at? Algae need nitrates and phosphates to thrive, and I'd say your algae is thriving!
You should be doing water changes of 10 to 20% once or twice a week using RODI water. If you're using tap water, that's probably a cause of your algae problems, and doing water changes won't help any if you continue to use tap water. Do you have a protein skimmer? If so, good. If not, you probably want to get one.
What do you feed your fish? If you are feeding flake or pellet foods, throw those in the trash and buy some frozen foods. Flakes and pellets contain preservatives, which can lead to algae and water quality problems.
Algae outbreaks are normal in a new tank, so what you're going through isn't out of the ordinary, but it will take work to get it in shape.
