How can I make my Sony DVD player give my movie back?

My Sony DVP-NC675P CD/DVD player will play the movie, the 5-disk changer drawer will open and close. But the disk won't drop back down into the tray so I can take it out. It seems to be stuck to the mechanism that picks it up from the 5-disk tray. I was online with Sony for ages trying to find out the problem, but the technician couldn't help. Gave me a link to send it away for repair. However, Sony will only replace it with a reconditioned one for $104, or repair it for even more. Can anyone help me try to fix it myself? Or at least get the disk out. Thanks!