I read the law and it states the judge can award treble damages. It did not state the LL has the right to demand it without the courts order and it did not state the LL has the right to apply it to the amount owed. It is a court award and until the court awards it, you are due nothing of the sort.
I would suggest you cannot consider the treble damages in any calculation until the courts award them. The treble damages are the result of your action in court and the judges response; they are not automatically added onto the balance due that you can claim they have not paid the rent becuase the treble damages you may very well be allowed, caused the amount to be less than the treble damages were.
If they have an order stating they have to pay $X, then that is what they have to pay and you applying other amounts to the judges order is not going to be taken in a good light in court.
No, the order lists the total amount you are owed. If they paid what was ordered in a pay or quit order, you are working on an illegal eviction. They have met their obligation and that will be supported by the courts.
The order only lists regular damages.

