Hello Jess,
Thanks for the interest in WooCommerce Tickets.
By default the tickets are hidden on the Shop Page and only show on the event page, but if you change the “Catalog visibility” in the Ticket in the WooCommerce Product editor you can make it show.
For the checkout process you add a ticket to your cart from the Event and then it takes you to the WooCommerce Cart. The whole checkout process is handled by WooCommerce and we do not modify it. So you could continue shopping from there and add other products.
Here is a demo of the process:
http://wpshindig.com/event/the-events-calendar-wootickets-wordpress-demo/
Let me know if that helps.
Thanks