I can't remember this but is Jasper neutered yet? If not that would be a good start. It will calm him down and hopefully ease that urge to go out. I would also suggest maybe taking him for walks. Harness and leash him and take him out for a walk and to explore. It worked for my RB Mytsi. She was very demanding with wanting out and used to escape but once I started taking her out she was ok with having her walks on her leash and didn't try to escape any longer.