I had a player that would skip back on occasion and basically acted like the disc itself had scratches or crud on it. But all my discs were doing that - never made it thru a single disc. It turned out to be a worn out motor, so unfortunately in that case, it was destined for the scrap heap. I hope yours turns out better.
BTW, I later picked up a nice Pioneer LD player that is also a 5 CD changer. (Shweeeeeet!!

) I have yet to see a single skip out of it.