Should there be (story) repercussions to resurrection?

That's a tough one. If Natasha changes her appearance and remains close to Ryan, their friends might take offense ("The love of your life died and you already have new one?!"). But asking them to pretend to be just acquaintances would be too cruel, so moving towns would be advised.

Getting a legal ID might be a hassle, but doable. Just have a permament address and hold a job for a while. Afterwards university should be on the table again. Or would marriage to Ryan automatically grant the "new" Natasha an ID? In this case the rushed marriage might be a good idea.