You can easily remove them in theme’s options. For this, go to General Options > Layout > Extra Side Navigation, set it OFF to remove the hamburger icon menu. And go to General Options > Header Options > Show Search, uncheck the checkbox, to remove the search.
Sorry but it’s not possible to replace the icons with other icons and have a different function. This will require coding that is not included in support.
I suggest you add this information in the top navigation area, add it as widgets. Activate top navigation area in General options > Header Options > Top Widgetized Area. Add widgets to it from Appearances > Widgets.
