That money, by law, is for the children. If you think the custodial parent is misusing it, I suggest you consult with an attorney who specializes in family law.
SEE LINK BELOW
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.
This question cannot be answered. There are simply too many facts about the situation that are not known.
lost the child to whom?
This is usually the mother, unless there is a history of drug or alcohol use, mental instability or child abuse.
The mother has presume sole custody and control, regardless of the circumstances in all states.
the father should file for custody
her choice
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
Your mother will have to request a change of custody. You cannot do it yourself.
see links below
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.
speak to a lawyer