Reply To: Header Image Position

In your css file look for this on line 891 –

.slider .wrap {
    background-image: url("images/slide-shadow.png");
    background-position: center bottom;
    background-repeat: no-repeat;
    margin: 0 auto;
    padding: 30 0 5px !important;
    width: 1140px;
}

And then change the top padding from 30px to 0. That would even out the extra space caused by the top of the slider.

If you want to move the widget area up some by removing the space at the top then you could look on line 1352 and change this code –

.header-image .site-header .widget-area {
    padding: 20px 15px 0 0;
}

Change the 20px to around 10px or so