It would be great if I could see League events in the schedule. Now you see events hosted by the league, but I want to know which events are league events hosted by other league members.

You can see those events through the league page.

True, but you still have to find them in the schedule if your trying to apply to them.

How about an option to join the event on the event page? Since there are links to the event in the league page, from there you should be able to join/apply to the event.

That would be good. I think this has been suggested in the past.