Hi Jay, welcome to the forums! Sorry to hear you’re hitting some trouble with updating the plugin, but we’ll help get things back on the right track. 🙂
Are you able to manually remove the plugins via FTP or through your host’s control panel? I think it would be helpful to try to uninstall The Events Calendar and The Events Calendar PRO from there and start with a clean slate.
Once the plugins are manually removed, head back to your WordPress dashboard and refresh to see if you are able to click links again.
Then, please go ahead and try reinstalling the plugins (might help to work with fresh copies of both), but this time do it with the Upload Plugin option under Plugins > Add New. Make sure both plugins are the same version (3.9.1) and upload the ZIP files that way.
Are you able to install and activate the plugins from there? Does the issue come back when you do? Please let me know. 🙂
Cheers!
Geoff