No problem!
In case you want to stick with the native header, you can still add some more icons for the topbar social icons.
You will need to install a child theme and add this code to the functions.php file:
// Social Output
// =============================================================================
if ( ! function_exists( 'x_social_global' ) ) :
function x_social_global() {
$facebook = x_get_option( 'x_social_facebook' );
$twitter = x_get_option( 'x_social_twitter' );
$google_plus = x_get_option( 'x_social_googleplus' );
$linkedin = x_get_option( 'x_social_linkedin' );
$xing = x_get_option( 'x_social_xing' );
$foursquare = x_get_option( 'x_social_foursquare' );
$youtube = x_get_option( 'x_social_youtube' );
$vimeo = x_get_option( 'x_social_vimeo' );
$instagram = x_get_option( 'x_social_instagram' );
$pinterest = x_get_option( 'x_social_pinterest' );
$dribbble = x_get_option( 'x_social_dribbble' );
$flickr = x_get_option( 'x_social_flickr' );
$github = x_get_option( 'x_social_github' );
$behance = x_get_option( 'x_social_behance' );
$tumblr = x_get_option( 'x_social_tumblr' );
$whatsapp = x_get_option( 'x_social_whatsapp' );
$soundcloud = x_get_option( 'x_social_soundcloud' );
$rss = x_get_option( 'x_social_rss' );
$new_icon1 = 'http://example.com';
$output = '<div class="x-social-global">';
if ( $facebook ) : $output .= '<a href="' . $facebook . '" class="facebook" title="Facebook" target="_blank"><i class="x-icon-facebook-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $twitter ) : $output .= '<a href="' . $twitter . '" class="twitter" title="Twitter" target="_blank"><i class="x-icon-twitter-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $google_plus ) : $output .= '<a href="' . $google_plus . '" class="google-plus" title="Google+" target="_blank"><i class="x-icon-google-plus-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $linkedin ) : $output .= '<a href="' . $linkedin . '" class="linkedin" title="LinkedIn" target="_blank"><i class="x-icon-linkedin-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $xing ) : $output .= '<a href="' . $xing . '" class="xing" title="XING" target="_blank"><i class="x-icon-xing-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $foursquare ) : $output .= '<a href="' . $foursquare . '" class="foursquare" title="Foursquare" target="_blank"><i class="x-icon-foursquare" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $youtube ) : $output .= '<a href="' . $youtube . '" class="youtube" title="YouTube" target="_blank"><i class="x-icon-youtube-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $vimeo ) : $output .= '<a href="' . $vimeo . '" class="vimeo" title="Vimeo" target="_blank"><i class="x-icon-vimeo-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $instagram ) : $output .= '<a href="' . $instagram . '" class="instagram" title="Instagram" target="_blank"><i class="x-icon-instagram" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $pinterest ) : $output .= '<a href="' . $pinterest . '" class="pinterest" title="Pinterest" target="_blank"><i class="x-icon-pinterest-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $dribbble ) : $output .= '<a href="' . $dribbble . '" class="dribbble" title="Dribbble" target="_blank"><i class="x-icon-dribbble" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $flickr ) : $output .= '<a href="' . $flickr . '" class="flickr" title="Flickr" target="_blank"><i class="x-icon-flickr" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $github ) : $output .= '<a href="' . $github . '" class="github" title="GitHub" target="_blank"><i class="x-icon-github-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $behance ) : $output .= '<a href="' . $behance . '" class="behance" title="Behance" target="_blank"><i class="x-icon-behance-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $tumblr ) : $output .= '<a href="' . $tumblr . '" class="tumblr" title="Tumblr" target="_blank"><i class="x-icon-tumblr-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $whatsapp ) : $output .= '<a href="' . $whatsapp . '" class="whatsapp" title="Whatsapp" target="_blank"><i class="x-icon-whatsapp" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $soundcloud ) : $output .= '<a href="' . $soundcloud . '" class="soundcloud" title="SoundCloud" target="_blank"><i class="x-icon-soundcloud" data-x-icon="" aria-hidden="true"></i></a>'; endif;
if ( $rss ) : $output .= '<a href="' . $rss . '" class="rss" title="RSS" target="_blank"><i class="x-icon-rss-square" data-x-icon="" aria-hidden="true"></i></a>'; endif;
$output .= '<a href="' . $new_icon1 . '" class="newicon" title="New Icon" target="_blank"><i class="x-icon-star-o" data-x-icon="" aria-hidden="true"></i></a>';
$output .= '</div>';
echo $output;
}
endif;
Please update the link that is in the $new_icon1 = 'http://example.com';
line.
You can also see the line:
$output .= '<a href="' . $new_icon1 . '" class="newicon" title="New Icon" target="_blank"><i class="x-icon-star-o" data-x-icon="" aria-hidden="true"></i></a>';
You can change the icon by editing the class attribute to the icon that you want to use as well as the data-x-icon attribute.
You may refer to fontawesome for this.
http://fontawesome.io/icons/
For example you want to use this icon.
You will have to get the icons name by copying the text after fa-
and append it to x-icon-
and add it to the class attribute, so you will get: class="x-icon-asterisk"
.
Then get the unicode value of the icon from fontawesome and append it to &#x
so you will get 
for the data-x-icon atrribute.
$output .= '<a href="' . $new_icon1 . '" class="newicon" title="New Icon" target="_blank"><i class="x-icon-asterisk" data-x-icon="" aria-hidden="true"></i></a>';
Hope this gives you an idea what to do.