SIMPLY DIFFICULT. The like button is not shown for some URLs

Question

I have three like tags with different URLs (all of them working, the same site):

1. http://www.sawbook.pl/
2. http://www.sawbook.pl/like_test.html
3. http://www.sawbook.pl/najszczesliwszy-dzien.html

Unfortunately there is only one like button!
Are my URLs banned!? What's wrong?

Test page: http://www.sawbook.pl/like_test.html

<dl>
  <dt>http://www.sawbook.pl/</dt>
  <dd>
    <div class="fb-like"
         data-href="http://www.sawbook.pl/"
         data-layout="standard" data-action="like"
         data-show-faces="true" data-share="true">
    </div>
  </dd>
  <dt>http://www.sawbook.pl/like_test.html</dt>
  <dd>
    <div class="fb-like"
         data-href="http://www.sawbook.pl/like_test.html"
         data-layout="standard" data-action="like"
         data-show-faces="true" data-share="true">
    </div>
  </dd>
  <dt>http://www.sawbook.pl/najszczesliwszy-dzien.html</dt>
  <dd>
    <div class="fb-like"
         data-href="http://www.sawbook.pl/najszczesliwszy-dzien.html"
         data-layout="standard" data-action="like"
         data-show-faces="true" data-share="true"></div>
  </dd>
</dl>

Answer 1

I've changed the age restriction for the app that is used on the page.
Currently each of Like buttons works fine.

Thank you CBroe for your help.
I found a solution while I reported the bug, by the way, I checked the application settings.