I just want to correct things up, seems it has nothing to do with gzip, but looks like when I checked the url with FB debug tool, the like button worked on this url only.
but other urls did not. till I check them in the debug tool.
So the solution was to check the url in the FB debug tool 1st, then I go back to that url on my page and I click the Like button and it magically works!
One thing I realized is sometimes I get a message on the FB popup window saying that this url is not reachable .