There actually is a very simple answer to all your questions. They would all be in answered in a collective bargaining agreement.
In an update, the Dartmouth team voted 13-2 to join the union. What happens next is that Dartmouth will appeal and seek a decision from the full NLRB. The losing party would then have the right to appeal to the United States Circuit Court of Appeals for the First Circuit. The case could eventually reach the Supreme Court.
Although a key factor in the decision so far, was the fact that the Ivy League is made up of eight private institutions. The NLRB declined to take cover the football players at Northwestern, because Northwestern was the only private college in the Big 10. The rest of the Big 10 is public universities (like UB), that are not covered by the National Labor Relations Act.
Because of the amount of games that Dartmouth plays against public universities, I think the NLRB will decline to take coverage of college athletics.