ideal plugin

Good afternoon,

I would like to get help since I have checked multiple add-ons and none fully comply with what I need.

What I need is a plugin that can fulfill this.

The administrator must create events

The events must be private and public

Private events should be able to the administrator to send invitation

Private events the user must be able to ask to attend

You must be able to report the attendees

If you know of any free or premium plugin it would be very helpful.