I'm with Elevick; it's truly not worth trying to repair it. And I seriously doubt there are many older CD players that are "collector's items". Maybe a California Audio Labs Tempest, but that's pushing it.
My advice is to simply replace it with a used Sony, Denon, Music Hall, NAD, Jolida, Rotel or the like that's a more recent vintage. I think you're going to see a very significant improvement in the sound.
Michael