It turned out just awesome, especially considering that jazz is not your profile.
I have a very similar situation: I mainly write electronic music, but when I was drawing art for our game, I was greatly inspired by the works of Studio Ghibli and also wanted to make an omage on the soundtracks of Joe Hisayashi. Unfortunately, there was no time left to write decent orchestral music, something close to the original idea remained only in the main menu.
Anyway, keep it up, you nailed that jazz for sure!