Hi,
Thanks for the interest in our plugins. I can help answer your questions.
If I purchase Community Events, will all registered users receive emails when I add a new event?
Unfortunately no, Community Events nor any of our plugins have a notification for new events.
The client wanted some events to only show for users who are logged in, so to make this work I am using private posts, will a post that is published privately also send out emails to all registered users?
You can try setting an event to private and that should hide it from non logged in users.
Let me know if you have any follow up questions.
Thanks