Add a static page that links to homepage

To add a link to the homepage in your navbar, you can use the following function to add a link to the home page in wp_page_menu_args

function wpse01_home_link( $args ) {
   if ( 'main-menu' === $args -> theme_location){
       if (! isset( $args['show_home'] ) )
          $args['show_home'] = _x( 'Home', 'homepage' );
   }
   return $args;
}

add_filter( 'wp_page_menu_args', 'wpse01_home_link' );

You can just rename Home to suite your needs