Hi dougxapsis,
Thanks for the interest in our plugins. I can help answer your question.
We do not have a system to register for events the way you describe, but any of our Ticketing Add Ons could be used as a way to register for an event. They do have a free option for tickets so you could run them through the payment process and just use that to collect information and not take payment.
All our ticketing plugins have the same features and if you decide to use one we usually recommend getting the one that add on to the ecommerce plugin you are most comfortable with.
Please look at our WooCommerce New User Primer to get an idea of all the features and how to use it to determine if it might work out for you.
https://theeventscalendar.com/support/documentation/wootickets-new-user-primer/
Let me know if you have any follow up questions.
Thanks