Hi,
Thanks for using our plugins. I can help out here.
You can setup Community Events so all new events submitted are published, by setting the default status to publish.
You can read about the default status here under the General Section:
https://theeventscalendar.com/knowledgebase/community-events-settings/
You can find out about all the features and how to set them up with our new user primer too:
New User Primer: Community Events
Unfortunately, we do not have a feature to flag events, if you think that is something you would like as a feature I encourage you to visit our User Voice Page and either upvote an existing request or make a new request there.
http://tribe.uservoice.com/
Let me know if you have any follow up questions.
Thanks