Not unstuck, just developed a resistive connection. it happen a great deal on the ribbon cable over time and pops up without warning.
I see it a lot.
As to the CD causing damage to the drive, I dunno. I have never experienced that, except in a car audio player.
Yeah, the "resistive connection" type failure is possible, but the concidence with running an unknown CD is too much for me.
There was a copy protection scheme introduced in early 2004 (not picked up by major CD manufactures due to the screams in the computer and consumer advocate communities) that would cause damage on some CD burners if you even played the CD in the drive, let alone tried to copy one. It forced a seek to an invalid track. Most CD players would simply refuse to go there, but a big chunk of CD burners will try going to even invalid tracks. It's tied to the "overburn" capabilities of some drives. That's why I avoid overburning. It's also why I almost never put a CD into my burner unless it's a blank I'm going to burn to.