Date in the URL with The Events Calendar

You could just try to change the slug to the value you need for each event. The problem arises if you have the same event twice (or more) in the same month though. You will need to create a new title for the event.

you can try this plug-in:
http://wordpress.org/extend/plugins/custom-post-type-permalinks

It might help you with changing the permalink structure for the events so you wont need to keep changing the slugs when you create events. But I don’t think that will help with removing the number after the event title as that is the way WP core works for duplicate posts.

Tri.be has a pretty good support team have you posted the question there?