Good evening Dan and welcome to the Events Calendar forum!
Thank you for your interest in our products.
We’ll be glad to answer your questions.
I believe the closest thing we have to what you are looking for is either Event Tickets or Event Tickets Plus.
These allow you to add tickets to your events (which I guess could serve as bookings).
The difference between the free version and the premium add-on is mainly in the features.
Since you are looking for the ability to confirm and reject bookings, I believe you will need Event Tickets Plus. While integrating with WooCommerce, that will send emails to the person every time there is a status change on their “order”.
Let me know if that helps.
Have a great day!
Geoff B.