I like the sound. As for the playing, are you reading this chart from the Real Book? It sounds like you're playing it as written. You should know that the Real Book is a tool to be used as a guide for what notes to play, but when it comes to the actual rhythm, you can (and should) take liberties. If you listen to any recording of that tune, I don't think there's anyone that plays it as a quarter rest, 3 quarter notes, etc. I'm a trumpet player, so I happen to be very familiar with Chet Baker's rendition, but there are tons out there that you could listen to to get some ideas for how to mix it up a bit.
It should also be noted that I couldn't really listen to the whole thing since I'm at work, so some of my statements may be inaccurate. I did skip ahead to listen to part of the solo which sounded good. :rock-on: