you don't want to use a disc cleaner like that. There've been LOTS of reports how those types of cleaners are harmful to the optics.
You're better off using regular alcohol swabs.
Just sounds like the optic itself may need to be replaced. Usually a cd repair shop can do it!
In the meantime, there are lots of smaller cd+g players that have RCA out (video and audio) that can hook up to an existing system.
http://www.soundchoicestore.com/pck-300 ... 33703.html
They say THIS is the model that's a good replacement. I know for the money I'd probably try this before I'd try the RJ model, etc...