not without permission
It isn't the birth father, no one will ever change the childs birth father, but he will legally be the step father,until the divorce comes through.
No
A childs mother must file a petition for child support in the local family court.
Who legally adopted the child?If the mother's new husband legally adopted the child, then the biological father's parental rights had to be terminated first. Which means that the biological father is NOT obligated to pay child support anymore. The new adoptive father has taken on all rights and responsibilities for the child.
If you are the child's father then you really have little legal support to not support your child. Your child is legally entitled to your financial support.
If he is married to the child's mother the decision is theirs to make, but if he is not married to her the mother decides the child's last name.
My child is 13 and lives in Texas and he wants to live with his father. Can he do this legally?
yes
The court is the only authority that can make the determination that the father cannot pay. No one is "legally responsible" for the father's obligation except the father.
If the judge in the court with jurisdiction feels it would be in the best interests of the child to issue such an order, yes.
You can, but eventually the court will question what you are doing.
Why would the father need supervision?