Thing to remember is that these boards can be multi-layer, so if you remove a component, and it goes all the way through, you could damage the tracks in the middle of the board if you're not careful.
Fixing a damaged track issue is usually simple because the track connects to something else. Use a multimeter to confirm where it goes, or scrape off enough green from a track to get to copper and solder onto that.
If it's just a pad, see if it comes out on the other side with a multimeter,