If the ex is living in the household where the child would be visiting - then the other parent could ask for "supervised" visitation. The court could also demand that the alcoholic NOT be present in the home when the child is there. Whatever happens, the child obviously does not need to be around an alcoholic. While you may not be able to get full custody due to this fact, you do have some control over how and when the ex sees the child if the alcoholic is around.
The better thing is to live them
yes if you have full custody you dont have to consult your ex.
With his permission you can.
No, her ex-boyfriend Gary Shirley has full custody of her.
You may arrange visitation through the courts.
No, not if he is the other person that has legal custody.
He has every right to go back to court to petition for joint custody, yes.
Depends on total evidence and not just one piece. see links below
You can re-file in Family Court to amend the Full Custody and Support Order.
For 1) are you in custody of your daughter? If you are in full custody you could take her to court for kidnapping is your EX mother in law in custody of your daughter? Do you have joint custody? If your ex mother in law has no custody over your daughter you could take her to court, she is not authorized to take care of your child.
Why shouldn't he if she goes on deployment?
You cannot have sole custody without physical custody. If your ex has physical custody, you are the non-custodial parent.