Hi,
I'm not able to reproduce the problem with IE11 on my local website. These upload buttons work fine.
So we would have to look directly on your website backend to be able to understand the situation.
Regarding the issues in your screenshots, these are warning messages. I don't know why the first one is showing, but for the second one, it's a bug in the module iceslideshow that you're using. So you should be contacting the support of that extension for help about it.
Now, it's just a warning message, nothing too serious. On a live website, for security reasons, you should set the "error reporting" setting of the Joomla configuration to "none" as to not disclose information to potential hackers. Doing that, these warning messages wouldn't display.
Regarding you "backend not working", as you didn't provide any information as to what exactly is not working, I can't say anything useful, unfortunately.