Persons born abroad to a U.S. parent or parents may have acquired citizenship at birth. This determination is based upon a variety of facts; the law in place at the time of birth, the amount of time the U.S. citizen parent(s) lived in the U.S. prior to the birth of the child, and, in some cases, the marital status of the biological parents.
As far as I know, the only way to remove a state judge is impeachment by the state legislature. Remember, this is as far as I know but I'm pretty sure it is correct.
