Man, this is turning out fantastic. You're doing a wonderful job, and it looks like you're just about done!
Here are my comments thus far. Of course, you're the arranger, so you're in charge, they're just personal advice.
1-10 are PERFECT!
11-14 are really close, but there's still something not quite right about them. Try removing some of the middle notes, and see what happens.
15-26 are PERFECT!
27-30 are the same as 11-14... need a little changing.
31-52 have all the right notes, so woot.

However, as this is a piano arrangement, I feel as if the varying bass lengths (to dot, or not to dot?) as well as some of the staccato feels a little off in regards to the melody. I understand that's how the original goes, but I'm not sure it works on the piano. Try removing the staccato and rests, and see how it sounds. Piano songs often sound better with less staccato in the bass/harmony. Not always, but a lot of the time, especially when the melody/bassline don't fit together in terms of rhythm.
53-57 are PERFECT!
58-60 are questionable. They're probably okay, but we should probably get some 3rd party opinion there. They sound good, but strange. Then, the song is kind of strange.

61-75 don't quite feel right. You have the chords right, but I think the transition from string/brass to piano didn't work very well here. If you listen to the original, you'll notice that though there IS that higher-pitched string stuff, it isn't really what you predominantly hear. At least, not me. There's something more middle-tone in there. I'm not sure how to best fix that though. Maybe get rid of the top notes, and fit in the middle-tones? OR try lowering the entire thing an octave, and see how it sounds. I'm not sure how to best fix it. You definitely have it right, though. It just needs some stylistic changes.
76-85 are PERFECT!
This really does sound great. The main problems are just how you transferred stuff to the piano, not the notes you found. (except for 11-14, and 27-30, which have some wrong note in the middle somewhere) Keep it up, and ask for some other criticism. You're doing a great job, and you're a great arranger. Keep it up! This is ridiculously awesome.
Also, another idea I have that is optional, but would make the arrangement even better, is to consider the fact that this is a jazz piece. Jazz musicians pride themselves in being able to improvise within chords. However, with complex songs such as this, that can be quite difficult, so you consider adding the chord names above the bars. (eg Bbm7) That's entirely up to you, but would be a neat embellishment.
Keep it up! You're doing great.