Hi,
Thanks for using the Events Calendar. We do not have a Registration or Sign Up Feature. We have our ticketing plugins, but they are limited in what they can do and do take customization to add more fields you would need for a registration.
I have found this plugin that might be useful for sign ups:
https://github.com/GlynnDevins/The-Events-Calendar-Registration
You maybe to get that to work with the version of the Events Calendar you already have.
Let me know if you have any follow up questions.
Thanks