If you want to remove the area with the shopping cart from your menu, simply navigate in your dashboard to Appearance > Customize. Then, in the customize panel choose Woocommerce > Display Settings.
Under The Display Settings Tab, simply choose not to display the cart in your menu. Done and Done!
To remove your Search from your menu, simply navigate to the Hallie Pro Settings tab under Appearance > Customize the uncheck the box to display the search in your menu.