Yes, if the couple are not married and there is no court order preventing the action.
With her child, no.
yes if she has full custody
no, it requires the permission of the court.
Yes
If you're not married, yes. You have no parental rights until granted them by a court.
Well ! Yes.
Not without the permission of the child's biological mother. When a couple are not married and there is not a custodial order from the court, the law presumes that the mother has sole custody of the child in question.
The father may take the child if and only if the child is not safe where it is and is happy to go with the father. You could leave a note and make sure that you leave a contact for the mother. Otherwise you may not. However the mother may not take the child from the father withot permission either. If you were to do this without good reason then it could be held against oyu in the court of law.
With parental permission, the child can move out. If there is no parental permission, the child is a runaway and is subject to applicable punishment.
She can try, but he can get an injunction.
yes, because god knows what the father can do to the child The parties should seek legal custody through the courts.
It is unlikely that any policy can be 'done' to a child. However if you mean take out an insurance policy then certainly. Anyone can do so with or without the fathers permission.