1. the movie is set in the 70s (I think; I don’t think they confirm a year, but it’s clear it’s set in the past). Having a muscles isn’t some unique thing. And the fact that we see the car at the beginning and the car that follows the jogger birth of which are clearly different colors than Letos (blue and brown, respectively) strengthens my belief that he’s innocent. Nothing about Leto suggests he’s rich enough that many cars...especially cars that he can hide from the police (remember they found his other one and it was clean).
2. I don’t think that’s his land, he just said he knew a guy who had a hunting license there. I took that to mean he got the key from that guy.