Thanks..and while new here, I hope to contribute and help find the bottom line on this east /west thing and help move forward.Apples and oranges. Those are good questions, but they're also rather elementary and you need to study what a federal court has jurisdiciton over, versus that of an administrative agency. Congress determines the cases which a federal court can hear. THey also create administrative agencies such as the NMB as they see fit and the idea is to have that agency conduct matters within the juridicition that Congress creates for it. THink NTSB hearings ("FAA court") when there's an FAA enforcement action against a pilot. Think Immigration Court. The EPA has their own litigation court (don't know what it's called). The arbitration today was under the RLA and it involved an appeal from the system board of adjustment. A federal court will never get involved in that, save for something weird like the board was composed of KKK members and they decided the issue based on race. Now you've invoked federal court jurisdiction because the 13th and 14th Amendments prohibit discrimination based on race.
The DFR is a case about discrimination and Congress has deliberately made it difficult for plaintiffs to get into federal court against a union. I know USAPA minimized the finding of jurisdiction last November, but in reality it was huge and that order alone made the rounds in two labor law publications that I know of. Then we went to trial and we all know the result from that. The point is that a DFR belongs in a federal trial court and not before some administrative agency. Again, Congress decided that to be the case.
In short, what goes on in an administrative agency almost never involves an interference by a federal court and vice versa. Most appeals from an administrative agency can ultimately go to a circuit court of appeals, but that's where it stops. So for a pilot who gets nailed by the FAA and loses at the FAA hearing, he can appeal to the NTSB judge (there's five of them). Lose there, and the pilot goes to the circuit court of appeals in that area. Notice how the federal district court is nowhere in that sequence. The arbitration falls under the same sort of process. From here Susie could technically appeal to the circuit court of appeals, but why?
Your question is just too broad to answer in one post. One entire year of law school is devoted to civil procedure as it's a very complex system.
I still find problems with Wake and his jurisdictional decisions.
Your explanations don't alleviate them.