False allegation of criminal damage?

10 year old daughter attacked & throttled by local youth. Attended his home to speak to mother but she was unavailable. Told him to leave her alone. 24 hours later two policemen arrived @ my door saying I had threatened to "burn down their house" - ridiculous and ludicrous scenario. Opinion is, given our daughter's injuries, her attacker has invented this to mask his actions and scare me off. Given a solicitor would start @ �200+ what redress do I have here? (UK law applies).