Hello,
Please navigate to Woodmart > Header builder http://prntscr.com/iyd2pe
Choose the proper header type (your current) http://prntscr.com/iyd333
Modify elements as per your needs: http://prntscr.com/iyd3h3
Take into consideration that there is also the mobile view of your header http://prntscr.com/iyd3v3 check all the elements there.
If you want to set the row background, find the options in the rows settings: https://xtemos.com/docs/woodmart/header-builder/add-edit-builder-elements/
By default, Wooocommerce does not provide this option. You will need a plugin. You can try this one: Ivory Search. Please note we have not tested this plugin with our theme we do not guarantee 100% compatibility and smooth operation, contact their support, if they refund you, you can try.
Best Regards