Hi,
Sorry for the issues you are having. I can help troubleshoot this with you.
We are having trouble reproduce the issue and not sure exactly what the cause is.
To help narrow this down please setup WordPress Debug to see what errors are showing when you try to recreate the issue a couple times in this file: /wp-content/debug.log
If you need the plugins to be working ASAP.
I recommend downgrading to 4.0.7 for The Events Calendar and Pro and the latest 4.0.x version for any of the other premium plugins.
This process does not delete or change events or settings, but it is a good idea to backup just in case.
You can download the older versions from your account here on theeventscalendar.com and older versions of the core plugin here: https://wordpress.org/plugins/the-events-calendar/developers/
And use these steps to manually update:
Manual Updates
Let me know if you get some error messages from the debug log and we can go from here.
Thanks