Hi Lauren,
Thanks for getting in touch and for your support of our products. The short answer is yes, all the plugins should integrate and work nicely together. One thing that is important to note, however, is that at this time it is not possible for users to submit events and include ticketing via WooTickets. You can still add WooTickets to those events, but only from the admin side of things. Similarly, you can add tickets to events brought in from Facebook, but only from the WordPress back end. The plugins should also all play well with Jet Pack.
Does that answer your questions?
Cheers,
Leah