The search icon on the theme is absolutely tiny, making it inconvenient for users to easily access, it'd be great to have a full size search bar (think Amazon!) - above the main menu, this would make it much easier for users to use the search bar.
Also for the mobile: I have seen websites were the search bar first appears just under menu and as you start to scroll it "jumps" up and covers the logo. Since the visitor obviously knows where she/he is, covering the logo would save much space on the mobile. Adding a new row for the search bar just shrinks the screen height.
Thank you for adding a feature request, we appreciate that you are concerned and want us to improve.
Our dev team is currently working on this & you will get this in the next Release.