Very nice.
I'm not sure what you mean by ' I was hoping to get a more professional-sounding recording' - all sounds great to me.
There's a lot of "background" noise, I guess is the best way to express it. That sort of noise is completely absent from pro recordings, and from pre-sampled piano recordings, too.
I should replay the same piece on my electronic keyboard to show what I mean (when I get time). But if you listen to the WTC 1 I posted here, you'll notice that there's NO background noise.