My husband could've possibly cosigned a loan for a liquor store for his ex-wife while still married to me without me knowing

You should have your lawyer look into the details of that transaction.

Can the judge grant the relocation of my child and her mother just because her new husband has a new job in California?

I suggest you read the case at: http://www.courts.state.ny.us/reporter/archives/tropea.htm

FILING DIVORCE IN A DIFFERENT COUNTY ?

You should go to the Supreme Court in the county where you or your spouse resides.

Will the child custody judge approve an agreement bw both parents for mother to relocate if 20K arrears are vacated?

You should have your lawyer review the agreement before signing it.

I was deceived into downgrading instead of upgrading and charged more money. What can I do.

It sounds like you should be speaking with a lawyer admitted to practice law in Florida.

Does my girlfriend have to sign joint custody agreement?

She does not have to sign any agreement. The primary custodial parent can seek child support without having a custody order. The facts and...

Can my ex wife stay in my mothers apartment if she not in the lease

I am not sure an eviction proceeding would be the correct type of action. It might work but an ejectment proceeding might be the more appropriate...

You need to check the policy of the rental car company you intend to rent from but you will likely find you are currently barred from renting a car...

My son's ex-girlfriend is pregnant and she left their apartment. She won't say anything about the birth. What are his rights?

I suggest you review the information at: https://www.nycourts.gov/courts/nyc/family/faqs_paternity.shtml

I have a 10yr old bench warrant in FL. from a felony assault charge w/o a weapon. Would I have to serve time to vacate it?

You need to speak with a Florida Criminal defense lawyer.