I am wondering if the drive belt (rubber band) is intact.
The drive belt is for drawer open/close, if it's broken the drawer won't move. If the belt is stretched, it can prevent the drawer from fully closing to engage the drive to the disk, but then the end travel switch will not activate and the drawer will attempt to open again.
Owenthered, as OldPhil has commented, the laser being unable to read a disk is probable cause, did you actually clean the laser lens? The drive being ID'd in the BIOS doesn't have any bearing on the capacity of the laser to read.
If the lens has been well cleaned, and the drive spins and attempts to read from a known good bootable CD, but the system still finds no bootable media, then there's nothing left really except a failed laser, not uncommon in an older drive.