Remove Search form without using css and some possible bugs

Hi,
I’m starting to use your theme for a small website I’m making and I’m loving it so far but I want to remove search icon + search text-field mainly because in mobile version it uses a lot of space and I don’t need it at all.
Is there any way of removing it in options?
I think css option to remove would be something like this:

div.topsearch{
     display:none;
}

In other things I think I found a bug in css of the header when I scroll down in a page. The header moves to the top but the image is cut by the right. I had to change this css property:

.site-header.fixeddiv .home-link {
	color: #141412;
	display: block;
	float: left;
	width: 280px;
	min-height: 56px;
	height: 64px;
	padding: 0px 20px;
}

to this:

.site-header.fixeddiv .home-link {
	color: #141412;
	display: block;
	float: left;
	width: 312px;
	min-height: 56px;
	height: 64px;
	padding: 0px 20px;
}

Other possible solution to this was to give padding this value:
padding: 0px 0px;

I also found that the z-index of site-header is way too high. It gave me problems with several gallery plugins:

.site-header {
	position: relative;
	display: block;
	clear: both;
	min-height: 88px;
	border-bottom: 1px solid #e7e7e7;
	z-index: 30001;
	background-color: #FFF;
	opacity: 1;
}

If I use a gallery that displays thumbnails of my pictures and then opens a pop-up to show the full size of the image the site-header uses a bigger z-index and it’s shown over the image. It happened with Gallery Plugin and nextGen Gallery.

You can see a screenshot here:

Screenshot
To solve this, I had to change site-header z-index to 1001. For the moment I didn’t face any issues with this new z-index but I’m afraid if I add more components and more pages to my website I will have problems with the new z-index
Anyway, great work and hope that you can give some answers to solve my doubts