There was a case in 2013 of a woman, Shaneen Allen, who had a permit to carry a firearm in her home state of Pennsylvania, but took a wrong turn in Philly and accidently got stuck on a bridge and had to drive into New Jersey to turn around, where she was arrested for illegal possession of a firearm.
She struck a plea deal with New Jersey, then Governor Krispy Kreame issued her a full pardon.
So that could have been a Full Faith and Credit case, but was not pursued.
Not a lawyer, but it seems pretty clear to me (if the Constitution still holds any sway):
Article IV
Section 1.
Full faith and credit shall be given in each state to the public acts, records, and judicial proceedings of every other state. And the Congress may by general laws prescribe the manner in which such acts, records, and proceedings shall be proved, and the effect thereof.
Section 2.
The citizens of each state shall be entitled to all privileges and immunities of citizens in the several states.