A visitation order doesn't REQUIRE that visitation occur - it only spells out the RIGHT to that visitation. If extensive periods of time pass with no contact, THEN you may have grounds to seek modification of the order and a revisiting of support (which would likely go DOWN, since dad would have less right to time with the child).

Coming and going as he pleases? No, that doesn't fly. You're only required to allow visitation per the exact word of the court order. If he's coming at other times, stop opening the door. Don't fight, don't argue, simply say "this isn't the time specified in the court order, goodbye" and walk away. If he won't leave, call police. He can only run over you to the extent that you allow.

If he's not paying support that is ordered by the court, then the way to address that is to bring a contempt motion. The court can't help you if you don't get the matter in front of a judge. Be aware that support and visitation are two totally separate issues, and not paying support (which is a wrong against you, who depends on that money) won't result in the court punishing the CHILD by stopping visitation with their parent.

On what grounds would you think the court would dictate that dad not take the child anywhere? Generally if the court found dad ok to have the child in his care, unsupervised, it isn't an issue for the court which piece of geography the visitation occurs within. Is dad expected to suddenly have some major episode or personality change just because he crosses a state line? (Really, you'll need to come up with some VIABLE reason.)