Notify the police of what is happening, and give them a copy of the email.  Tell them that you think your husband is trying to lie.  Then tell them about the restraining order that his ex-wife had on him.  Next, get your house documents or at least a copy and put them in a safe deposit box.  This proves that you are the owner of the house.  If he gets the locks changed, then get a locksmith and the police to open the house back up.  Next, get a competent lawyer.  He can file a stay on your behalf.

I know what I told mine and I know if you leave they can say you abandoned the property and he will try take it fully from you.  Mine told me the last time he came here before he left to pack the kids up and go live with my mother ( who lives two counties over and it would have disrupted the kids school schedule ) Tell yours like I told mine, I am not leaving period.If he wants a piece of it he can repay me for the last 2 1/2 years I have paid the house payment, insurance, upkeep ( keep reciepts for everything even a new toilet or pipe, insulation etc), and property taxes. If he moves out on his own change the locks on the house, any fences or extra buildings and any storage sheds you have. BTW keep that email and print it out when you divorce, that kind of communication is accepted by courts of him saying you needed to leave and he doesnt feel safe with you there. It is just to get you to feel bad so you will leave.

No you dont have to leave if you both own the home.

No! If you jointly own the house, you jointly have the rights to it  - tell him nice try! (that said, Im not a lawyer)

No don't leave!   If he put his hands on you call the police and he will have to leave. If he is so scared tell him to leave.