Social Media In header not justified to right

Try adding this to your style.css file –

.smw_left {
    text-align: right !important;
}

Also, if you want the text right above it to float to the right, then add text-align: right; around line 230 in your style.css file like this –

#header .widget-area {
    float: right;
    padding: 20px 0 0;
    text-align: right;
    width: 510px;
}