Hello,
I have overpassed problem with both plugins by creating separate homepage from 'original' homepage (in Polish) for other language (in English) and adding it as static homepage for English.
But this created issue with redirection of logotype to homepage after clinking on it (when you were on English homepage it redirected to Polish homepage).
So i've disabled the link on logotype and i've added separate link in menu which redirects to homepage without changing the language.
Effect: http://www.wyspabrzozowa.pl/
I know its not an ortodox, php solution but for me worked fine.
If you have some simple solution for logotype link issue pls post it :)
I hope i've helped.
Ps. love Portugal, especially Coimbra. Great memories.
Cheers!
Jędrek