Besides the mixed content (the icon is http, your site is https, just add an s to http and that should resolve that error.
The other thing I noticed (and had the developer confirm today) is that your securi settings are preventing the search .
He made this short video for me because I asked him to explain some of the error messages I saw when Inspecting your site with the Firefox developer tools.
P.S. Would you mind if we used this video to help others find errors and issues using the new Firefox developer tools? See the youtube video here that shows one of the errors