Can you please add temporary FTP and back-end access? There is very likely a misconfiguration somewhere else. I will log-in and check your configuration to see if there is anything there.
I think I found the problem. I believe that is search ID=3 on that page. If you check the settings, then no post types are selected for search, so there are no results: https://i.imgur.com/ngPxNr3.png
If you select the post types, it should start working.