call the police,,,get the freak arrested.
Went through the same thing with my wife's ex. Total nut job. Threatened to kill us and everything! My wife has had many ppo's on him . We had to go to the courts.
No don't do anything he wants. He should act like a man and leave you alone. If he cared about your happiness he wouldn't do things that made you feel uncomfortable or unsafe. There is something wrong with this guy and you need to get a restraining order.
Tell him "Man-Up" and grow some "balls"............ If that fails!, get a restraining oder from the police or lawyer or give him the idea that you'll arrange to have his kneecaps dislocated.
call the police