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Hello welcome to the site.
Please elaborate on what you mean on what you can push them to do? What is it you would like to get out of this situation?
Thank you for explaining. Sorry to hear what you are going through. The police are intending on charging him with criminal damage and ABH. ABH does carry with it a maximum penalty of 3 years in prison and if convicted you could possibly get compensation from the Criminal Injuries Compensation Authority. You also could bring a civil claim against him for the damage to your property and obtain compensation this way, as well.
In respect of eviction, it is correct to say that this can only occur if there has been a breach of contract between that tenant and the landlord, unfortunately you cannot make the landlord evict him but there are other measures you could take such as issuing an injunction against him and/or making a complaint to the council for the noise. The noise can be classed as a Statutory nuisance which is covered by the Environmental Protection Act 1990 and the council can issue an abatement notice. If they agree that a statutory nuisance is happening, has happened or will happen in the future, councils must serve an abatement notice (usually on the person responsible). For something to be regarded as a statutory nuisance it must unreasonably and substantially interfere with the use or enjoyment of a home or other premises. The abatement notice could be served on the premises owner i.e. the landlord so this could be a roundabout way of having him evicted, especially as the penalty for non-compliance is fines for each day they do not comply.
I hope I have assisted and hope you have found my answer useful. Please take a moment to provide a positive rating by clicking the stars above. Kind regards, John.