The party that has the second most members in the house but not the most

Supreme court. jim, who is a bit eccentric, says that he is fed up with the way a certain employer in his town treats employees and that he is going to sue that employer in an effort to improve matters. jim also says that he is going to start his case at the appellate court level, skipping over all those "lesser" judges. jim says that those justices will surely hear him out and that he will also seek a jury. although he is not a lawyer, jim believes that the offenses of the employer are so severe that the justices will appreciate his attempt to make things better for the employees involved. will jim get a jury at the appellate court level?