Tenant demanding compensation for mould?

I have a tenant who complained about mould and the handyman went to sort this out and said the same thing would happen if there was no ventilation.

I bought a dehumidifier for the tenant, but six weeks later, the tenant complained again of mould, saying he should be allowed to leave before the end of his contract. The handyman sorted out the mould, painted his room and a new carpet was laid. He said the tenant appeared content with the work carried out.

The handyman told the tenant there might be dust and advised him to move his belongings and used a dust sheet while working. The tenant has now demanded compensation for the work. He said his trainers, bedding and backpack were all damaged and is demanding £269.50 for what he says were his ruined belongings.

He is also demanding compensation for using the dehumidifier and for the handyman working in his flat for two days. He is demanding £381.50. I feel I did what I could by getting the handyman out, painting the room and even laying a new carpet. The tenant has complained about everything and finds fault. His contract ends at the end of July. I don’t know yet whether he plans to stay to the end.

Do I need to pay this?

Thanks,

Debra