Actually all these problems should have been sorted out with the vendor at the time of buying the property and the tenant should have been officially communicated about the change in ownership and further follow up action for the continuance of the LL arrangements.
In any case you may orally inform the tenant that you would not be willing to renew or extend the LL arrangement and ask him to vacate and handover vacant possession on expiration of the present L&L agreement.
Later on when he is no complying the demands made or refusing to vacate you may issue a legal notice instructing him to vacate the property, after which you can file an eviction suit against him before the court competent.
The litigation will have its own effect of getting inordinate delay in settling the disputes hence an amicable settlement may be arrived with the tenant if there are chances for that.