Each of the judicial circuits has only one Court of Appeals (although that court may meet in several different cities throughout the circuit), which here appeals from the U.S. District Courts within that circuit.
Under the doctrine of stare decisis, a question of fact determined by a court has a binding effect on a subsequent case involving similar questions of fact.
The U.S. Supreme Court does not hear any new evidence or testimony in reviewed cases.
The decisions do not set precedent for later cases.