see links below
The mother has presume sole custody and control, regardless of the circumstances in all states.
Properly, yes, however there can be complications. If the mother names some other person guardianship, the father could be facing an expensive custody challenge. This issue should be clarified in the custody orders. see links below
Yes.Yes.Yes.Yes.
Yes, if the father is not given custody he will be obligated to keep paying support to whomever the court awards custody or guardianship of the children.
Do you have a court order saying you have visitation? Are you the biological father? If so then YES. Go back to court and file for custody.
This is a problematic area and cannot be clearly answered in that Juries can be used in Texas to decide custody. It's the only states that does.
The mother has sole custody and control in all US States. see links below
the father should file for custody
lost the child to whom?
If you are not married and there is no custody or visitation order, she has custody automatically. The father have to prove paternity in court by a DNA test and then petition for custody or visitation. He can then also pay child support.
Would have to get permission from the court that settled the custody and visitation in the first place.
Yes, if the couple are not married the mother is presumed to have full legal custody of an unborn or born child, until a court rules otherwise.