BuddyPress.org

Hi
I am looking for a events plugin. Something like facebook events functionality where front end users have fully access about their events.

I want these functionalities for events.

1. User can create and edit events.
2. User can invite to people in event.
3. In created event author name should be appear that who create this event and RSVP too.

I tried Eventon plugin with Addon > User Action. But it seems limited for front end users.
Please suggest me best solution.
Thanks