Hi Anne,
Thank you for the details. You had this option enabled, that hides the magnifier Icon. I have disabled that for you, if you clear your site and browser cache, the mafnifier should start appearing.
The compact search seems to be configured correctly. To make it visible, make sure to place it’s shortcode somewhere on the page:
[wpdreams_ajaxsearchpro id=6]
You can also use the widget, if that is better fo your case.