Nice Piece of Music
Nice little piano piece you have here. It doesn't seem to follow any classical form, though. Beethoven's Moonlight Sonata (I presume you are basing this off of the 1st movement) follows a loose sonata form, called a Fantasia. If you are serious about making more classical music, I would certaintly suggest you do a little research on musical forms, because you certaintly seem to have a knack for it.
Some good starter forms to look at are: Fugue, Theme and Variatiaons, and Sonata. These are pretty easy to follow. Check out Mozart's K545 piano sonata, a real easy one to analyze for form. If you're not interested in checking out classical forms, just ignore most of what I said. Nice job :).