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What is your state?
Just about everything you've mentioned would make you eligible to file an order of protection. You will need to contact your local courthouse to find out from the clerk what you would need to do to get the process started. Let them know that he has been threatening you, harassing you, and basically making you fearful.
As for his things, I would give him the opportunity to take his things. Since he lives across the street, this shouldn't be a big issue. Box the things up and put them by the front door, but do not leave them outside, or in front of her house where they can be stolen. Have someone (even the police) be there when he gets his things to avoid confrontation. Do not get rid of his things, regardless of what he does, or you could be held liable for them. If he won't come and get his things, then you'll want to write a letter (signature required, return receipt requested) simply asking him to give you a date and a time when he can get his things. If he doesn't get them within 30 days, send a second letter, and in this letter, give him between 30 and 60 days to get them or they will be given away or thrown away. Again, do not damage or get rid of his things, as you don't want to cause any legal troubles of your own.
No, you can pack up his things and get them ready to go. You can offer to have them delivered to him. If you get a restraining order, he won't be able to come into the house.
Had you known you could have sent him something in writing before the three months and I understand you are not a storage facility. Keep in mind, you are free to do what you want with the items or otherwise, I am simply letting you know the legalities of it. If you did not give him a chance to get his things, and the only way you can prove that you did is by sending him a letter where you get a signature receipt from him, then he can sue you for the items or their cost.