I like the Federal Judiciary system of the U.S
Yeah, the federal judiciary of the United States is one of the three co-equal branches of the federal government of the United States organized under the United States 
Yes that is true. They are are independent system from other arms of government ( executive and legislative) 
Also ,the F.J  It is generally an appellate court that operates under discretionary review,
Yes. I call the Federal Judiciary the last resort for the people 
The F.J has the , the Last Resort Rule is a largely prudential rule which gives a federal court the power
It gives the court power to overrule decisions that won't be  good to the people of the United States
Supreme court
The supreme court is the highest court within the hierarchy of courts in many legal jurisdictions. Other descriptions for such courts include court of last resort, apex court, and high (or final) court of appeal. Broadly speaking, the decisions of a supreme court are not subject to further review by any other court. Supreme courts typically function primarily as appellate courts, hearing appeals from decisions of lower trial courts, or from intermediate-level appellate courts.
However, not all highest courts are named as
Federal judiciary of the United States
The federal judiciary of the United States is one of the three branches of the federal government of the United States organized under the United States Constitution and laws of the federal government. Article III of the Constitution requires the establishment of a Supreme Court and permits the Congress to create other federal courts, and place limitations on their jurisdiction. Article III federal judges are appointed by the president with the consent of the Senate to serve until they resign, are impeached and convicted, retire, or die