hey yes it's a abuse and if he's starting to get physical and grabbing you by the throat then it's escalating and I think you are at risk.
Ending a relationship is one of the factors that can contribute to abuse escalating.
I think you should seek some advice - as PP said, Women's aid is a good place to start.
You would do well to report this to the police, so that they are aware, they may put a SIG marker on your address so that they know to get there quickly if you call.
You wouldn't necessarily have to leave your home, you could have him removed, and you could have an Occupation Order to prevent him from accessing the property. I think you would do well to refer yourself in to the IDVA service - they can help you with safety planning and legal advice, even if you decide to stay there with him. they will also help you navigate any legal orders if necessary, can help you to access services to improve security in your home if you have him removed, can help with advice on all sorts of things.
It sounds as though harassment and stalking could poss be a problem after you/he leaves and I think you'd do well to have some support.
I think the fact that you're asking if these things are abuse are an indication that this has been happening a while and that unreasonable behaviour has become a bit normal in your relationship - what you're describing is certainly abuse, it's not acceptable, and it sounds risky for you to stay in that situation. I hope you are ok, please do think about getting support so that you are not on our own with it all. Best of luck.