It would be called the US District Court for the District of Puerto Rico. It is located at 150 Carlos Chardón Street. San Juan, Puerto Rico 00918-1767.
They would have both a local appelate court for the local Commonwealth court system and a federal appelate court for the federal court system.
There is no federal juvenile court
The US Court of Federal Claims is a federal court responsible in hearing monetary claims against the government. When it was founded on 1855, it was named United States Court of Claims.
The U.S. District Courts since that court is the main trial court.
Federal judges on the US Supreme Court are called justices.
The preliminary hearing
The most likely first step would be a hearing before the U.S. DIstrict Court for the Federal District in which the state is located.
To be called officially, as for a court case or a hearing.
It is called remand
Hearing cases from state courts if they don't involve federal law
Circuit Court sometimes called Superior Court in some states. (court of original jurisdiction)
last court in which federal questions can be decided.