Search Questions (Mobile)

Hi,
If a user searches on mobile, they are not able to see the result(s) of the search unless they scroll down. This could lead first-time users to believe that the search is simply not working. Any suggestions (we’d like to keep the filter buttons visible)?

Also on mobile, when the search box is used it magnifies slightly which might make typing a touch easier but it throws the page off. Is there any way of disabling this ‘magnification’ feature?

And, is there any way to get the search to show auto fill suggestions in a drop down box below the search box – like for example WP Ajax Search Light or Google?
This would be especially useful on mobile because it would show the user that it’s responding to their search.

We’re using pro, BTW.