S.H.
I am happy for you that you have found an escape!!
I do not have any experience with divorce things, but I had a couple ideas. As far as the house, I would think you could call and meet with your landlord to discuss this. If they are a good landlord, they will understand your situation and that you are moving out. If you aren't living there, then you shouldn't be on the lease!
For the car, would it be possible for you to refinance with only your name? Call the company it is financed through and ask. When I bought my truck, my husband was deployed. I wasn't able to sign on my own, so my dad co-signed with me. When my husband came home the next day, we went to the bank & refinanced through them with only my husband and I on the lease. However, I don't remember if my dad had to sign anything or not, since he was an original signer.
I am sure someone else out there has gone through this and can give you better ideas!
Good luck! And congratulations on your upcoming freedom!!