Integrate Eventbrite sign-ups with existing users on custom WordPress.org site

I have a custom WordPress site with standard users.
I also have Events (as a custom type of post) on my wordpress site.
However, I want users to be able to sign up for my events through Eventbrite (and take advantage of the tools eventbrite offers).
I also want to be able to track which users sign up for which events, when a user checks into one of my events, etc. Ultimately I want my users to log in to my website and see a list of all these events they’ve attended in the past. From there can can submit feedback for events, etc.

What’s the easiest way to do this sort of integration? Is there any way to validate a user at the process of sign-up on Eventbrite? Or do I simply ask for their user_id in a custom form field and hope they didn’t mistype it. Anyone have any experience with the Eventbrite plugin or would this require more custom code?

Alternatively, is there a wordpress plugin that acts as a suitable replacement for Eventbrite?

Thanks in advance! (For those interested, blog is scoutfitters.org)