I just purchased the game and I am also am having trouble with not being able to log in. Although, I also can't get into games even while offline. It just gets stuck in the loading screen, it continues to have the theme music playing but doesn't load into a game. I am on PS4 in Australia and my Klei ID is KU_8VmvSxsk
This happened to me just as I bought the game and it just freezes on the loading screen everytime I try to load up the game. I also can't log in to online it just loads forever.