Jason canonically can regenerate lost/damaged tissue due to being an undead monstrous abomination. But on the plus side? Outside of Jason takes Manhatten (Which I don't even think he was planning on going anywhere), he sticks to one spot and one spot only. All you gotta do is "kill" him then move far the fukk away from Crystal Lake so he can't come get you no more after he inevitably comes back to life.
How you handle the night terrors/PTSD/ensuing daily mental breakdowns after that is entirely up to you, but you're home free.
Michael? You just gotta nuke that nikka and pray for the best.
It's not whether or not he's supernatural or evil incarnate or all the other bullshyt, it's him being a cognisant being capable of rational thought and planning shyt out in the name of revenge/to satiate his need to kill that'll fukk you up. Because if he survives what you do to him, he'll dedicate everything he has to come find you. He'll stalk you, learn your daily patterns, learn your friends & family's daily movements, eat the family pet in between learning everything he can about you and your peoples. Then once he's satisfied with the knowledge? He'll proceed to kill you and everyone you know & love with brutal efficiency and quickness for fukking with him.