If I had a dollar for every time I've played that song at a cabaret concert...
You're pretty close, but there are some things that aren't correct. The chromatic walk up and walk down starts at the root note that you're playing. So, if you're playing a G, the walk up will start on the G and then go up chromatically; right now you're starting it on Ab (in my example). Or more simply put, you double the first note of the run whereas you are doubling the last note.
Also, at around the 55 second mark, you have the walk up and down backwards before it switches keys to where the Phantom starts to sing. And it happens again around the 1:45 mark, before the girl sings again.
Other than that, I would really work on your timing, because the eighth notes in sections seem to drag from what is on the recording (from what I can hear) and you end up playing catch up a little.