Some of the padding is coming from the site-description (which is hidden, but the padding is still there). You could either add in code to change the padding to 0, or you could add this –
.epik-darkblue .site-description {
display: none;
}
The gray background/bar is the space coming from the .head-wrap. So you could add this to have the margin removed for that particular page –
.home .head-wrap {
margin: 0;
}