Ummm before I comment on the music....this has already been done professionally.
Check out
On the Record (musical) - Wikipedia, the free encyclopedia Its kinda like what you are talking about, but on a bigger scale.
These are nice arrangements, and I feel the jazz, but I feel you didnt add anything.
Also you have a little trouble with the legality of this situation.
I mean I like them, I guess for what you want to do, its fine.
Good luck, and check out Disney's On the Record!!