Hey Erin,
Thanks for reaching out!
Our plugins unfortunately do not provide a fully-robust Print stylesheet. It’s hard to do that from our code because our code is just a plugin, and ultimately your theme is what dictates most of the front-end styling (which ends up including the Print stylesheet). š Sorry to disappoint!
When it comes to having public and private events, you CAN do this to some degree. There is only ever one calendarāyou cannot have an actual separate calendar, where one is public-facing and one is in the admin or somethingābut you can set the privacy of an event when creating it. You can use the default WordPress privacy controls in the “Publish” meta box as shown in this screenshot:

I hope that helps!
George