Hi Dom,
Ok, with the header issue, I looked at your site and you appear to have the following custom CSS (its at the very end of the styles and I could not replicate the issue in my installation):
#page-header{height:10px}and this is causing it. So that needs to be removed. If it is there for a reason, then please say what the reason is and I'll see what I can do.
With regards the slider, as I said earlier, the one in the video was the old one which has license issues: https://github.com/DBezemer/moodle-theme_essential/issues/61 - so I had to go with a rational solution that was also GPLv3 compatible, so chose in the first instance to implement the Bootstrap carousel as its replacement.
I have doubts about the background solution as conceptually images would still be of a given aspect ratio, so if the ratio was kept then logically to keep a 300 pixel height, then cropping would have to happen when the width was edge to edge. If the ratio was ignored then you get slanting / distortion as has been evident until a recent fix: https://moodle.org/mod/forum/discuss.php?d=270135.
Of course another solution is the implementation of another slider that appears to do what is required and is GPLv3 compatible. For the moment, that is not a priority for David and I. In addition Bootstrap 3.2.0 has an improved slider - http://getbootstrap.com/javascript/#carousel - and we plan to update in the future: https://github.com/DBezemer/moodle-theme_essential/issues/24.
Gareth