Steven Zahm@ Julie
Sorry to hear you are having trouble but looking at the page this seems to be unrelated to Connections or the 8.20 update. I suspect the issue was only noticed after the update but occured prior to it.
Please open the page in Chrome, hit the F12 key and then click the Console tab. There you will find to fatal JavaScript errors.
The first error is likely the root cause, jQuery is not defined....
My best guess this is due to your settings of caching and minification. Do not defer the loading of the JavaScript. What is happening is jQuery is being deferred, loaded last but is not available for a script, in your case a Tribe Events script, which is causing a fatal error which causing scripts to not run on your site, not just Connections.
The reason it works when you filter by category is because the JavaScript is not being combined and deferred. Which is the default behavior of your chosen caching plugin.
Hope this helps, let me know.