Not at the moment. Landlords don't want to be your next victim. You need to start taking accountability for your actions. You said you were BOTH on the lease. If you did not breach the lease, this would not have happened. You said your cousin breached the lease. How can you blame her when the lease was JOINT? She could not have broken it without you. Either none of you or both of you breached the lease. No landlord is going to even consider renting to you with a $3,000 debt owing to a prior landlord. If you owned the place, would you rent to someone who stiffed a prior landlord? So pay off your debt. That's the first step. If you need to sue your cousin for her share, that's up to you. Still, after you pay off the debt, it will take some time before a landlord will consider renting to you, probably a few years. Lastly, most landlord won't consider anyone with an eviction on your record. However, once you pay off your debt, plus interest (on the judgment), some may give you a chance, but not desirable places. You will have to start with a rather undesirable place, where a landlord has empty units. The desirable ones will be taken by renters who have not ripped off landlords/no record of evictions.
Certified Paralegal, with 25+ years' experience & with Landlord & Tenant law experience.