not true, if she dies while having something still stuck in her like a stake through her heart and out her back she wont revive untill its removed. So basically keep him like that and he will be dead.
Yeah but first of all they don't know that and secondly what are the chances they would do something like that. Most likely they would shoot him or the like and that would heal. He would be very very very hard to stop combining that with the other abilities he has.
bullets would have to be removed to heal i believe, if they hit his heart they have to be removed for him to heal so technically not invincible