Good question with respect to whether you owe any money for future rent after your eviction. To possibly answer your question, you need to carefully read your presumed settlement agreement to see what is stated within it. If the language states that it is a full release as to all claims against you by the former landlord, then you would not be responsible for future month's rental.If not stated, then you possibly would subject to the landlord's duty to try and rent out the unit as soon as possible for as much as he and she could get in order to mitigate any loss rentals due to your eviction.