Hi Martin,
I am sorry for the late reply.
I have checked your site and it seems like it is working as it should be. The country field is displayed when editing the profile:
http://screencast.com/t/Bo1i8bxG . Am I missing something here?
Regarding your issue with search field, you need to go to smart search, delete all easysocial indexed, and re-indexed it back. This should fix this issue.
Hope this helps.