Here is the issue.

My website is http://mladprogramist.com

When I log into google webmaster central and go to Disagnostics I see
this message:

We can't currently access your home page because of an HTTP error
(404).

And my home page is in web crawl errors section. Why is that?

I have a valid sitemap http://mladprogramist.com/sitemap.xml

Error pages are redirected to index.php in my root directory? There
should be no errors at all.

I cannot figure out where is the problem? Please