Laptop cd/dvd drive broke

Laptops are notorious for the air-flow conditions. The fan will draw air where it can find it, and place contaminants on the lens(s). Personally I've experienced this across a variety of mfg's product.

 You've already tried using a "cleaner" cd (usually a waste), instead get a GOOD optical cleaning cloth and cleaning solution. Then CAREFULLY clean the lens(s) (use minimal solution!). This usually corrects the issue. If you don't feel confident in this, then find a local car stereo repair facility, and for a few bucks they'll clean it-hope this helps.