Supreme Court has the power to review and make final decisions about the outcomes of trials of other instances. Specifically it's the one institution that has the power to interpret the Constitution. Because of this I believe that the best answer is the last one: Supreme Court is responsible for cases which involve interpretations of the Constitution.
A main difference between the United States Constitution and state constitutions are that state constitutions are subservient to the U.S. Constitution and can only outline powers which are allowed to states by the U.S. Constitution. States cannot enumerate for itself powers that are not allowed to the state by the U.S. Constitution. Therefore, the U.S. Constitution is the highest law of the land and cannot be changed or adapted as a result of a state constitution.
