Hi Andrew,
Thanks for reaching out!
Our free Event Tickets plugin allows users to book events (free events only) via a form directly on the event. This has some benefits to it, like allowing you to easily check ticketed users in at event time by going to the event, viewing the Attendees list, and simply clicking “Check In”.
If you want to stick with the form you are currently using, you can use Additional Fields to add a link to that form.
Does that answer your question? If you need any more details or clarification on anything, please let me know!