Hello,
I took a look at your system info, and it looks like you’re running an older version of WordPress. Can you try updating to the current version (4.9.2) and see if that makes a difference? If not, you can try deleting The Events Calendar and Events Calendar Pro and reinstalling them on your site.
I would also recommend running through these steps to see if you can find any conflicts with either your theme or another one of your plugins. Make sure you have WP_DEBUG enabled during testing, and send me any errors that you run into.
It sounds like you’re running Pro on your live site without any problems? If so, I would try to see if you can find any differences between the two and investigate those further.
I hope this helps, and let me know what you find!
Thanks,
Jennifer