Jon will pay a visit to the different graves. The offerings compulsion will seem natural to him, as Westerosi custom often has people leave some form of offering at the grave that they visit. He's going to definitely be intrigued by the different deaths people have gone through (since he's currently dealing with a need to keep feeling anything rather than what he did during his first death.) He's going to be less tight lipped about his as well.

Jon's statue will be the usual Northern shrine: a statue of him with a direwolf at his side and his sword in his hands. However because Jon has a secret parentage he doesn't know about, there will be a dragon to his left as well. Something to confuse him.

For those that want to experience his death, he was Beyond the Wall, surrounded by zombies. A giant dragon was just knocked out of the sky and killed. Jon was running towards Daenerys and his group, urging them to flee before he's knocked into the icy lake by a group of undead. So there is a lot of freezing, ice and water to enjoy. (Hopefully no one has a fear of drowning).

I'm up for anything. What a perfect time for him to meet new people!