yes because he only has the right to give permission to let his child leave the state
You will have to fill out the name change petition within your state. Also, make sure you have the other biological parent's permission because they will need to agree to the change or present their case in court why they do not want the child's name to be changed.
I think so, however you will need the courts permission for the child to visit you and leave their home state.
If relocating, yes.
In most cases you will indeed need permission from your ex-husband to take your child to live in New Zealand. Most states require parents seek permission and consent before taking their child out of state or out of the country.
You don't need permission for anything unless it's in a decree, but unless you have a remarkable hiding place, expect to be dragged to court eventually.
If you are a minor you pretty much have to go with your parent if they move. You don't need permission from your child's father, although he might get angry and try to take you to court over it.
If both parents have custody, you need the permission of both parents.
You as the parent can go wherever you want but if the child is going with you and the other parent have visitation rights or share custody, you will need their permission if leaving the state or country.
Not permanently if the other parent has any visitation rights. You need permission from the court.
because he won't know where you are at
If the child had not been adopted, this would need to be interpreted by a probate judge.
Only if he has custody or visitation rights with her. Otherwise, no.