Nice work!
Simon F covered a lot of great points you need to consider. The biggest issue with this is the dynamics. The left hand should be a mere murmur, not to have a voice of its own, but to supplement the melody. In general, your attack was a bit too piercing, but that could just be the piano and recording.
Nocturne means "Night Music". You should keep this in mind when interpreting phrasings, and the dynamical contrast of a piece in general. I try to picture music that is going to lull someone to sleep, or perhaps being with a special someone in a romantic setting trying to win their heart with beautiful music. I'm not sure your putting your mind in the right place. If you create the right image in your head, that will show you almost instant improvement. I'm not saying there is any 'right' image or 'right' interpretation (one of the beauties of art in general), but you have to make sure what you do is correct according to the time period and style of the piece.
Your left hand overpowered the right several times, to the point where you couldn't really hear the melody. It is a lot harder to play quietly than it is loudly, but once you gain full control of your hands, your playing will benefit extraordinarily.
Despite all of the criticism, you're no doubt a very good pianist, this isn't twinkle twinkle little star, after all. Whatever you do, make sure you make the piece your own, and play it that way, too.
Keep up the great work, I really hope you put more playing up on newgrounds!
(5/5 no doubt)