You can only evict under the housing act by using one of the grounds available (ie. he is two months in arrears, persistent late payment of rent, condition of property has deteriorated, his breach of some condition of the tenancy).
Making lost of requests for repair in an unpleasant tone is not grounds to evict, but you only have to comply with them if they are reasonable. If he requests an unreasonable repair, then you can simply decline to carry it out. He may then pay for the repair yourself and issue a claim at Court to recover the cost, but he will have to prove that the repair itself was reasonable to be successful.
Your statutory repair obligations are contained in the Landlord and Tenant Act 1985:-
(1) In a lease to which this section applies (as to which, see sections 13 and 14) there is implied a covenant by the lessor -
(a) to keep in repair the structure and exterior of the dwelling-house (including drains, gutters and external pipes),
(b) to keep in repair and proper working order the installations in the dwelling-house for the supply of water, gas and electricity and for sanitation (including basins, sinks, baths and sanitary conveniences, but not other fixtures, fittings and appliances for making use of the supply of water, gas or electricity), and
(c) to keep in repair and proper working order the installations in the dwelling-house for space heating and heating water.
You must arrange reasonable repairs, but are not under a duty to carry out unreasonable repairs.
If you have let the flat on the basis of being furnished or having certain other additional appliances then you must also keep these in repair.
If you informed him of how to park without incurring a fine then you are not liable to pay his costs for this.
The extractor fan complaint seems spurious as well.
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