Hi,
Thanks for the interest in our plugins. I can try to help out.
We can get you close to what you are looking for, but do not have features built in to only show fields for admins.
You could easily wrap sections of the event information with the current_user_can WordPress function to show what you would like only to admins.
https://codex.wordpress.org/Function_Reference/current_user_can
And all the event templates you can move to your theme to edit with that function and not lose the changes on updates following our themer’s guide:
https://theeventscalendar.com/knowledgebase/themers-guide/
Cheers