Both , but the harrasment is the most urgent as the neighbour is trying everything to try to involve the police ( I'm amazed our local police have the time for it all )
Thank you. You can pursue the matter as harrassment with the police. Such threats and behavour amount to offences under among other things the Protection from Harassment Act 1997 and the Offences Against the Person Act 1861 and there is no need for actual violence to be used for an offence to be committed. All that is required is behaviour that causes alarm or distress or that the offender ought to know would cause the same. However you can also pursue the matter under civil law.
Before taking action under civil law, you would first need to consider serving the neighbour with a cease and desist letter including some of the details of behaviour you consier to be harrasssment including where you know them dates and times and advise that you seek an undertaking from him to cease and desist his behavior within 7 days which behaviour is an offence and actionable under the Protection From Harrasssment Act. If he ignores you or does not give you the undertakings or commits further offences then you will need to consider applying for an injunction
This is a court order ordering your neighbour to stop harassing and not to approach your property or have direct contact with you as appropriate. The issue here is that you would need evidence of his behaviour. Consider preparing a a clear paper trail which demonstrates that you have raised complaints with the police and neighbour and keep a log of any events past and present with dates times and descriptions and report the same to the police. If any other neighbours are prepared to provide evidence this would assist further.
Once and if you have sufficient evidence to proceed you can apply on form N16A.
if you do not think you have sufficient evidence to show on the balance of probability that you are being harassed you may consider installing CCTV cameras which will record any further incidents with or without sound. Such cameras can be obtained very cheaply these days and can be fairly easy to install. This will also hopefully deter the neighbour from taking overt action towards you. Ensure that if you do decide to install them you do not direct the cameras into any aindows in your neighbours property, particularly Windows like bedrooms bathrooms or you may exacerbate the problem but that the cameras cover your property in the areas likely to cover problem "events"