"Leveraging Facebook and Twitter so fans could keep track of the results that way."
This would not create new fans. It's a good idea if and when the sport has a large enough fan base.
"All games replayed EVERY day on You Tube (highlights at least.)"
Sorry but this will not create a new fan base as well. No replays or YouTube or internet back in the 70's. 80's, and some of the 90's. Embracing the social media to advertise Jai-Alai yes.