The movie is based on a book written in 1992. As the albums of those particular songs were produced and released in 1996 and 2003, respectively, it is clearly impossible for your statement to be in any way correct.
As far as the movie goes, I just watched the trailer and it looks like it could be very interesting. I liked Prisoner of Azkaban well enough but I would probably go to see it because Clive Owen, Chiwetel Eijofor, and Michael Caine. They are all extraordinary actors. Especially Eijofor.