I have heard that loop a lot before- must be a FL or Reason loop, not sure which.
I'm not really sure what you're going for here- a song that fits the jazz genre? A song with jazz elements? Because as far as I can hear, this doesn't have any of that. I feel the saxophone acts more as a way to insert a "standard" jazz requirement into the song or something, if you catch my drift. A jazz song certainly doesn't need a saxophone. You can get the jazz feel much more easily with two things: 1. seventh chords, and 2. shuffle rhythm. And, if you have the music theory, a 2-5-1 chord progression (disregard that if that went completely over your head... i dunno how your music theory knowledge is)
And as seel mentioned, I think a flute or something else without the sharp sound of that saxophone would fit better in a very calm and smooth song like this. And maybe a sample set of actual jazz drums would do better than the synth drums here
Still, I enjoy the background very much (i.e the tune minus the sax and drums). There are some very pleasant and delightful synths, so I would expand more on that airy ambient feel than trying to insert jazz into it.