hello . i took a look at your site and i bilieve this will help you make a header with :
the logo on left,
social icons , 4 icons as i see , on left of your logo .
first , instal this plugin :
after installing the plugin , activate , then go to your widgets , find :
widgets on pages 1
drag and drop the social icons ( which is on your right sidebar widgets)
drop it in widgets on pages 1
now , go to your header file , located at header.php
find and erase the header tag , and put this code instead :
<div style="min-width:99%; max-width:99%; width:100%;">
<a href="/" title="HomePage"><img src="/wp-content/uploads/2014/06/Screenshot-2014-06-07-22.26.59.png" title=""/>
[widgets_on_pages] <!-- since you used the widget # 1 , widgets on pages 1 -->
after , check your header and see if it worked .. am currently using that code on my site' header .