I found one page where the Like button isn't displaying, and it seems to be because Facebook doesn't like the Open Graph information being used on the page:
developers.facebook.com/tools/debug/og/o...ka.pl%2FChleb-sodowy
In the HTML, there's an open graph image tag on that page that refers to an image of:
'no10/pychotkaog.jpg'
Do you know where that image is being inserted from? If that's in your Open Graph -> Configuration area in the Defaults section, it will need to be fixed to include the full domain and remove the ', like:
image=http://yoursite.com/no10/pychotkaog.jpg
If that image isn't coming from there, you'll need to figure out where it's coming from and fix it.
Hope that helps,
Alex