The question is really "is there a likelihood that he will sue you?" After all, he is the one asking that you spend your money for his benefit.
You have said nothing about him holding your damage deposit, if you made one. I will therefore assume he is not holding any of your money to apply it to this purpose.
It is not uncommon for landlords to use a damage deposit to pay for clean up, or painting, etc even if the place is spotless. That is an unfair and oppressive practice, but is commonly done.
If he is not holding any of your money, and is making demands on you even though you no longer live in the state, there is no practical way he can make you pay. Send him a polite letter explaining why you do not feel you owe him for the items complained of and then ignore him. It is very, very unlikely that he will sue you for the costs -- because it would cost him too much to do so. I cannot, of course, absolutely guarantee you that he will not file suit, but it seems very, very unlikely.
Answered on Apr 10th, 2012 at 4:20 PM