Look for this in your css around line 698 –
#header .widget-area {
overflow: hidden;
width: 65%;
}
Decrease the width, it’s your widget area that contains the icons. Thats why its dropping off to the side, because the title/logo area and the header widget area is too wide and exceeds 100%. So you have to make both of those equal or less than 100% and it will work fine.