YES! Article 4 section 1 of the constitution
Interesting question, as each state has its own laws in this regard and may not honor the ruling of another state.
No. A contempt of a court order complaint must be filed in the court that has jurisdiction over that case. Another judge at another court cannot issue a ruling on that case.
No. So-called "family court" is only a division of Civil Court. The judges are at equal level with one another. You would have to appeal the original decision to the Court of Appeals.
Whether or not a local or state law - or a ruling by a State court - is at odds with the Constitution of the US.
supremacy clause
It depends on the court's ruling.
Although law professionals will tell you it is a separate system, it is not. The US Supreme court has ruled that these systems are separate in so much as they are bound by the State constitution, and the Federal constitutions as well as the rulings of the US Supreme Court. State courts cannot divert from a Federal Court ruling; if they do the US Federal Court system will overturn the ruling.
no
Any trial court, federal or state, has the power to make a ruling like this. The rulings are always subject to appeal up through to the state or Federal Supreme Court. Even a state court ruling on the issue may be taken to the US Supreme Court.
The original ruling was in 1997 (DeRolph v. State of Ohio) In 2000, 2001, and 2002, the Ohio Supreme Court ruled again that the school-funding process in Ohio remained unconstitutional. Thus far, the state legislature has ignored the Ohio Supreme Court's ruling.
The full faith and credit clause of the U.S. Constitution requires every state to honor the laws and court decisions of every other state.
The Supreme Court provides final rulings on the constitutionality of state and local laws.