If you are not in a hurry, you can lift the edge a tiny bit and put a couple drops of solvent in the gap. Let it sit for a couple minutes and repeat. Proceed a little at a time letting the solvent break the adhesive bond.
Not sure what will work on the badges, I have used denatured alcohol, mineral spirits, lighter fluid, xylene, and enamel reducer. WD-40 will also work, but can be pretty slow. Start with the mild stuff and go nastier with the xylene and enamel reducer if they don't work. Don't let the nastier stuff sit on the good paint. Keep the excess that comes out from behind the badge wiped up.