1) Which one do you want to disable?
I just want to keep the proportions of the header image as the page is zoomed in/out.
You can easily see how the circular logo is turned into an oval.
Here's the image:
and here's how it looks (straetched vertically):
No idea how to prevent it, no code line sounds like it would be related to the issue.
2) In the default template 1075 the "3 line" buttonshows the pages when you click on it. In the modified template on your website it doesn't work, please make sure you didn't mess up the code when editing the template.
It didnt work before I made any changes as well :(
3) I can see the following social buttons on your website: http://screencast.com/t/cZrmDY2F0Sj So, I assume you fixed the issue?
I was sure I had disabled adblocker on ucoz, but I hadnt. That was the issue for some reason.
4) This can be done with the area tag http://www.w3schools.com/tags/tag_area.asp or you can replace the logo text with a clickable transparent image.
Added (2015-11-12, 1:23 PM)
I tried different properties of background-size. Some fix the wrong aspect ration of the image, but mess up the positions of the main buttons (in top-middle).
Also, I didnt understand how to use the area tag.