His relationship with the Night's Watch would also change. Since he has knowledge of future events, he could reform the Night's Watch in a more efficient and less dogmatic way. He could change the way they recruit, train, and operate. And his relationships with his brothers in the Night's Watch would be based on his new - found knowledge and different leadership style.
Regarding his relationships with his friends and comrades, like Samwell Tarly, things would be altered. He might not meet Sam in the same way as before. And his relationship with Daenerys Targaryen could be completely different. Instead of meeting her during the events of the original story, he could meet her when she was much younger, and this could lead to a very different kind of relationship, maybe one that's more of a mentorship or a completely different romantic connection.
His relationship with his father, Ned Stark, would be different. He could finally have a real father - son relationship instead of the hidden one. He might be able to learn from Ned and become an even better leader in the North.
One possible plot twist could be that Jon Snow goes back in time and accidentally changes something that leads to a completely different future for the Stark family. For example, he might prevent Ned Stark from going to King's Landing, which would change the power dynamics in Westeros entirely.
Well, for Naruto and Sasuke, their relationship might become even stronger earlier. In the past, they could train together more and understand each other's pain from the start. Sakura might be more assertive in her relationship with Sasuke, as she has the knowledge of what will happen in the future. She could try to prevent Sasuke from going down a dark path right from the beginning. And among the other members of Konoha 12, they might form closer bonds as they rely on each other more in this strange new situation of being in the past.
His relationship with Katara would be very different. He might be able to approach her in a more confident way, knowing what they've been through in the future. He could also avoid some of the misunderstandings that happened between them in the original timeline.
With his Slytherin peers, Draco's relationship would shift. He might encourage them to be more inclusive and less focused on pure - blood supremacy. This could make him an outcast among some of the more traditional Slytherins, but also gain him new allies who are open to change.
His relationship with Kakashi would also change. Naruto could use his Rinnegan - enhanced knowledge to help Kakashi deal with his past traumas earlier. He might also show Kakashi new jutsu or ways of combat that he learned in the future. This would make Kakashi see Naruto in a whole new light and their bond could become more of a teacher - student relationship in reverse.
One common theme is redemption. Jon often goes back to correct past mistakes, seeking to atone for things he did wrong in the original timeline. Another theme is the butterfly effect. His actions in the past can have unexpected and far - reaching consequences in the future.
Link's relationship with his own past self could be a really interesting aspect. If he meets his younger self, there could be a sense of mentoring or even confusion. His younger self might not understand what's going on at first. And when it comes to friends like the Koroks, if he goes back to a time when the Korok Forest was in a different state, their interactions would be new and different. The overall web of relationships would be completely reshaped as he steps into a different time period in Hyrule's history.
The wildlings might be his allies. After all, Jon Snow has had interactions with them before. They are fierce fighters and could fight alongside him against a common enemy.
His relationship with his former sensei, Iruka, would be really interesting. Naruto could go back and show Iruka how much he has achieved, which would be a really heartwarming moment. And with Kakashi, he could share his experiences as Hokage and maybe even learn some new things from Kakashi in the past.