Hello,
Didn't change the situation at all. Currently I don't have static front page and it didn't help when I tried different polylang settings...
It's strange because somehow polylang manages to intervene the permalinks of pages... Even if I choose to use different domain links for languages, polylang changes the permalinks of those front pages somehow
Now when I set up my frontpage my english flag and logo work as intended but still all the other flags won't work...