I’m not a carpenter, but as a mechanic, if the hinge pin is doing that AND the deadbolt has a problem, I would expect a third problem. Maybe the door frame isn’t square, or since it is the bottom hinge pin, maybe a threshold issue. The pin shouldn’t be migrating, and if it did, the deadbolt shouldn’t care. There should be three hinges on an entry door. Is the door warped?
Ooh I didn’t know they were filming a second Trial and Error!