That was basically my question. He gave notice of moving out. I accepted. Now he has retracted. Am I not allowed to refuse the retraction? So basically he can do this over and over, all the while complaining about little things that he wants done by me (a 70 year old female or my 72 year old disabled veteran husband). I get texts from him demanding that we come pick up his cardboard boxes that the city trash won't take. Or to nail down a board or that the motion solar light that a previous tenant installed aren't working right ....hello it depends on the location of the sun at certain times of the year!!! I can't stand them and want them gone but yes, I realize they have a lease until the end of the year...But THEY gave notice to move!!
It sounds like you enjoy being a LL (now that half of Long island has moved to NC).
Look, your tenants have a lease. And you cannot sue for damages... until you have damages.
Do everything by the book, to a "T", until they have moved out. Kill them with kindness, polite them to death, and be ready to react after they vacate.
1) He has retracted his notice. Pretend that means that the intends to stay for the duration of the lease. Send him a letter (FarmerJ gives very detailed instructions) expressing your understanding that he intends to stay for the duration of his lease, unless he clarifies in writing otherwise.
2) If they do not pay May's rent, start with a Pay or Quit notice. If they still don't pay, follow up with steps towards legally evicting them. But be all sweetness and politely professional while doing so.
3) Do not say anything further about what they have to do before leaving, other than in written correspondence refer to the "conditions of your lease", and offer a walk through. If the lease says that they are responsible for mowing the lawn, "conditions of your lease" covers that. Every lease I've ever signed has included a clause about the unit being clean, only a dingbat gets their hackles up over being told to clean before moving.
Will they leave by the end of May? Maybe. Maybe not.
Will they leave the place clean and mow the lawn? Maybe. Maybe not.
Where you have recourse: they have a security deposit, and anything that can be reasonably argued as beyond normal wear and tear, can be deducted from the security deposit in a timely fashion. Depending on how long they have lived there, and the conditions of things when they moved in, some things might be beyond their expected life. However, if they leave the place filthy, the cost of cleaning is a reasonable cost. If they were supposed to mow the lawn, etc., the cost of mowing the lawn can be included.
If they leave the property with damages exceeding the security deposit, you can pursue that in court.