Looked finished to me. Remove the word unfinished from the title...nah, change the title to something better, and call it good. Well, call it done. The music changed about the time the credits showed up, so it works as it is.
There wasn't any real story to go along with it, and the music wasn't really my taste, so I can't say it'll ever end up in my faves. But it wasn't bad enough to blam. So give it a decent name and call it your first 'official' piece. If it's unfinished, it doesn't quality as "first official..." anything.
My advice, though, is that you're picking up on something that could be very useful. The right music with the right story/animation to go with it can really appeal to people. Find a good piece of music (Dubstep does not count as musci, BTW) and make a great story to go along with the music and you can have yourself a winner. Soundtracks from movies can be great material to start on, as they are made with the emotion built in. Add your own story to the beautiful, high-emotion music, and let the music tell the story for you.
Go to my faves and watch these:
--Orange--
Hoy Te Amo++
Ready's Voyage
My Angel
Hillside Settlement
Notice how there are no words at all. The music tells the story. Notice, no dubstep either. ;) Also notice their scores. You're picking up on it, so use that as a course of action and make something great.