Hi Charlotte and welcome,
Like Geoff I'm sad to hear you've lost your fur baby. It must be very difficult to not only leave your old home but to now be alone.
Your neighbour sounds like a total jerk. You mentioned being afraid to seek help in case it makes it worse for you and I can see why you'd feel like that. I would probably feel the same way.
But Geoff is right, if your neighbour is coming onto your property, causing damage and making you afraid this is serious. If/when you go to the police do you think it will help to explain your fears about this? Also do you have other neighbours? Could it be an option to ask them for help even if that means exchanging numbers so you can phone someone close by if you need urgent help?
I know when you've lost a fur baby it can feel wrong to get another but is getting a dog a potential option for you? We've had problems with someone walking out firebreak and scoping out the property but having a guard dog has really helped. One, it seems to keep people away and two, I feel safe knowing he will alert me if someone is outside. It's just a thought though.
Hope your situation changes soon!