Hey vege,
You guys have something good there! I've heard too many hack versions of that song and have had to play it more times than I care to recall, but I still like the way you guys did it.
For a start, the rhythm section is tight and groovy. The drummer keeps it simple (a very much underrated virtue) while the bassist fills in the gaps and plays to the groove.
Accompaniment instruments are all nicely restrained, playing little fills here and there instead of filling the whole song with notes. Nice! Your sax player has good control of his tone and rhythmic phrasing, but sounds like he's still trying to break out of the classical scales. Just keep on jamming and I'm sure he'll come through with the soulful, bluesy stuff.
Your vocalist rocks! I'm not a singer but he's got a great voice for this kind of stuff.
On the whole, it's good that you guys are leaving spaces for each other to play, something that a lot of bands (pro or non-pro) neglect. That's a great start, and perhaps you guys can build on it by trying to play off each other's ideas and be more adventurous.
Let me know when you guys start gigging! Would love to hear you live.