I apologize for the delay in reply. Is this happening on all devices and browsers? When you click in the search field on our website https://www.cox.com/residential/home-cc.html is there an icon (circle with an X in the center) located to the right of the search? When clicking that icon, is nothing happening? I see you've mentioned you've tried everything, like clearing browsing history, cookies, and cache with a reset to the browser?
Thanks for any details you may have with this trouble you've reported above,