Hey Brantley,
Thank you for reaching out to us!
I’m sorry to hear that you are having problems to update Events Calendar PRO! Let me help you to solve this.
The screenshot you attached is not very helpful, unfortunately: It looks like your site has a character encoding mismatch problem preventing you to see the error messages.
Could you please share your system info with us?
Also, I would recommend you to temporarily enable WP_DEBUG and WP_DEBUG_LOG and share with us any messages you see after trying to update the plugin. All WP_DEBUG messages will be stored in a debug.log file in /wp-content/debug.log.
Thanks!
Patricia