The issue with the magnifier is because of some invalid HTML code that is injected directly to the search output code, see this screenshot: https://i.imgur.com/GwQUBB6.png
This can happen if the container element is some kind of builder text element and it automatically adds line breaks and paragraphs. In this case I would recommend changing that to something else (maybe a HTML element or something).
You can disable the settings icon on the Frontend search settings -> General panel: https://i.imgur.com/cyPrHbO.pngBest,
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