Whether or not the alarm company could renew in this situation depends entirely on what the contract had said. It is legal for a contract to provide that it will renew on expiration unless the other party provides notice in a certain way, in a certain time frame. If there was a clause like that and your boyfriend did not obey the terms of the contract, then it may be that it legally renewed--in that case, he had in advance given his consent to renewal unless he stated he was not renewing in the proper way. Other than that, though, a contract should not renew without his explicit consent. He should therefore review the original contract to see what it said about renewal and cancellation.