His rights are to pay child support and petition for visitation.
DNA testing can be done before or after a birth certificate is signed if there is any question about who the father of a child is or if visitation rights are being contested.
The right to petition for custody or visitation and the right to pay support. [Paternity must be established before any discussion of rights or responsibilities.]
Whatever he obtains from the courts. The two are not connected.
Until paternity is established the birth mother is considered to hold sole custody of a minor child. For a father to have custodial or visitation rights it must be agreed on by the mother of the child or through the prescribed court procedures by means of a lawsuit.
Why take it away? That is just as damaging. Request supervised visitation.
no
child support and visitation rights are two totally different things. The answer is no.
He has whatever rights the courts set forth, but he might have to pay for at least half the travel costs.
How does he have any visitation rights with a custody and child support order?
If he has primary custody or even visitation rights, you cannot take his child far enough away that he cannot readily exercise his custody/visitation rights unless he gives you permission to do so.
Assuming you don't have legal custody of the child, you have whatever visitation rights the court have given you.