I am not clear on the problem you experienced during the test...could you give me some details so I can try to solve it?
So for your site, imagine using google search bar, one is able to type in the query but when hitting the spy glass icon nothing happens. Nor does hitting the return key do a thing - but in your instance you have a text box so the return key just enters a new line in that box.
The behaviour of the launch icon [which I gather on your site would be the up arrow in a circular button] not working is not unique to your site, I experience this often enough, and no doubt I have blocked the host of one of the APIs used to build the gui instance to return the query data.