Hi Chris,
Thanks for checking out our plugins!
We do not currently have anything built-in that pushes events out to social media platforms, but you can use some third-party plugins to add social media share links to events (which are the tribe_events custom post type). I would recommend testing out a few with the free version.
Event Aggregator does let you import events from other sources such as Google calendars, Meetup, and iCal, and it did import from Facebook up until the recent changes with the Facebook API. We are actively working on getting this up and running, but until then, imports from Facebook will not be possible with Event Aggregator. We are posting updates on this here as they become available.
Please let me know if you have any questions!
Thanks,
Jennifer