You can certainly install and activate all of our event plugins on the same site and they’ll work together nicely.
What they won’t do – at least not without some extensive customization – is allow something like events submitted via Community Events to be pushed directly to Eventbrite. That sort of workflow is completely possible of course but requires some amount of human intervention, it wouldn’t be completely automated or anything.
Currently, event reservations are only really possible via WooTickets or Eventbrite.
I hope that answers your questions but let me know if you need any further clarification.