Hi,
actually I was playing with the mod in 5.2.2, and I had to update to 5.3 when they asked me to do it.
I don't use the Facebook app to log in, but I use Facebook backup.
Since the 5.3 update, I can no longer link my Facebook save to the game... It worked on 5.2.2, even now, but they force to update before loading the save from FB.
I could start a game again, but I don't want to, because I used the mod for my game.
They have changed the security protocol on version 5.3 : they can detect "free" purchases or the use of a mod on previous version 5.2.2, they block the loading of the save game.
That's why I'm waiting for the mod menu 5.3, I think the modder will manage to fix it.