Hallo Zzzchick and welcome to the forum
I do not have any training in dealing with Psychopath's, nor what to do in your situation, but from what I do know of Psychopaths they are very controlling, lack impulse control, do not consider consequences, and often are not concerned about consequences even if they do consider them, plus they see themselves as the victims (even when not formally diagnosed as paranoid)and they have no conscience or remorse.
Put all that together and I would not assume any threats are merely empty ones.
Accordingly please take every step you can to protect your safety. In most cases that would entail informing the Police, particularly if you already have a restraining order.
At the least it puts them in the picture, even if you don't take it to a court case at this point, and so would hopefully speed everything up should you ever need to take further action.