These form when moisture from a drippy glass or a hot dish gets trapped in the finish. To remove a long-standing stain, place a towel on top and press with a warm, dry iron for five seconds.
Candle wax and crayon respond well to ice. Fill a plastic bag with ice cubes, wrap it in a towel, place it on the stain until it hardens; carefully coax wax off with a plastic spatula.
We tested and found effective. Dab a scratch with the lightest marker in the kit, then use a darker one if needed. Wipe off the excess a soft cloth before it dries, and finish with a polish.