Leaving tape on is definitely bad news - especially standard masking tape. The solvents in the adhesive continue to boil off, albeit slowly, until the gum hardens and has a pretty good grip on things.
As an aside, that's a good reason to buy your various adhesive films from someplace that turns over their inventory fairly often. Old tape is bad tape. It has a shelf life.
As for your finish tear, is it large enough that the knobs won't cover it up? If not, then I'd leave it. Repairing it will be a lot of work that may end up making things worse. Think br'er Rabbit and the tar baby.
Speaking of a lot of work, Warmoth uses polyurethane for their body finishes and it's a cast iron bitch to repair, if it can be done at all. It's a very robust finish, but if it does get damaged you're in deep, meaningful sheep dip. You often have to strip and redo the entire piece. Add the $250 finish cost Warmoth charges to the cost of stripping and prepping, and you may be looking at a guitar-shaped bit of scrap. At least, from a financial POV. If you do it yourself, it's still a fine piece of woodwork with lotsa promise.