The US Supreme Court is an appellate court, and therefore does not try cases or determine facts of the case, rather it interprets facts of law, and may grant new trials. There is no right to an...
There is only one United States Supreme Court, but there are also State Supreme Courts. So, to answer your question: none. The U.S. Supreme Court is it's own court.
There is no case that set up the Supreme Court. The US Supreme Court was required under Article III of the Constitution; Congress created it with the Judiciary Act of 1789.
State supreme courts cannot lawfully overturn US Supreme Court decisions, per the Supremacy Clause of Article VI of the Constitution. The only ways a decision may be overturned is by the Supreme...