This in of itself is not enough information to determine this. Where does she go? Are they left alone? What are the Father's problems? Etc... There are too many factors here. Off the cuff I would say: Full custody? No.
the father should file for custody
As unfortunate as this may be it is possible for the father to get custody of the baby, but not full custody unless the mother is proven unfit. Because reguardless of what happened between the couple the father is still the father of the child, and the father still has his rights as a father to be a part of his child's life.
If she abandons the child, yes.
Yes. He would have to petition the court for custody.
The father should seek a lawyer for legal information on how to handle custody of children.
Yes, of course she should.
Yes, but she first has to go through court and if the judge thinks the father is unfit, or if the child is old enough to choose who they want to live with, then the judge could give custody to the aunt.
Yes, if the mother leaves the state without the consent of the father or court approval, the father may push for sole custody. He can argue that her decision to move without considering the best interests of the child demonstrates a lack of ability to provide a stable environment. The court will make a custody determination based on the best interests of the child.
If the mother has legal custody but leaves the state and doesn't have physical custody of your child then that must mean the child is with someone who doesn't have custody. I assume you are not married. In that case, you must establish your paternity in court and request legal and physical custody. If the mother has left the state without taking her child with her the court will certainly want to know who the child is with and will certainly consider awarding legal custody to the other biological parent, you.Perhaps you can convince the mother to consent to your getting legal and physical custody. If not sole custody, then joint legal and physical custody.You should consult with an attorneywho specializes in custody issues. The attorney can review your situation and explain your rights and options.
I believe it would probably be labelled as custodial interference if both parents have custody of the child. It's usually only kidnapping if someone without custody of the child takes them, though different states and judicial systems will all make their own decisions.
yes
Sole custody is not common these days except for single mothers. see links