Exporting some entries from the registry from my old computer, and importing them onto my new computer did do the trick. Now I still don't remember my password, but automatic login works
If you ever need to do the same:
- Startup the old machine
- Open "regedit"
- Navigate to "[HKEY_CURRENT_USER\Software\ForgedAllianceForever\FA Lobby]"
- Rightclick, hit "Export" and save all the entries to some file "faf.reg"
- Be extra careful: open the file with "edit" and make sure it only contains entries from the "FA Lobby". If you would import a file containing other entries... well, that would be a real disaster, and you might need many many hours to recover from that mistake.
- Startup the new machine
- Open regedit
- Import the file "faf.reg" you just created
- Start FAF