Federal Question Jurisdiction Problems

Think back to our case involving a pig. The pig disappears from the first farmer's pen. He files a lawsuit against the second farmer, alleging a common claim of unlawful taking of property. The second farmer asserts as a defense the federal Protection of Pigs Act, which allows pigs to be removed from unsafe conditions and supersedes any contrary state laws. Does federal question jurisdiction exist?

Still on the pig, but this time the pig is still in his original pigpen. The second farmer files a lawsuit seeking an injunction to have the pig removed from the pigpen, using as a basis the federal Protection of Pigs Act. Does federal question jurisdiction exist?

Still on the pig, and the pig has been removed from the original pigpen and taken to the pigpen of the second farmer. The second farmer left behind a note at the scene, explaining that the pig was removed in connection with the federal Protection of Pigs Act. The first farmer files a lawsuit to get return of the pig, invoking a state law that creates a right of action for anyone injured by a mistaken or fraudulent invocation of the federal Protection of Pigs Act. Success on this claim will necessarily involve interpretation of the Federal Protection of Pigs Act. Please explain how a court would analyze this.