I suggest you to recover your FB credentials as soon as possible, work together with Facebook on this. Playing without knowing them is a big risk, as Top Eleven may get disconnected from FB due to connectivity issues and if that happens you will need your credentials to log in again.
Can't you update apps using a WiFi connectiong, not your mobile data plan?
Also in the future, try not to forget everything you use that is attached to your account. Right now you have forgotten the email address you used to get your Facebook account, the password associated to it, you didn't set up a phone number for recovery and you also forgot your yahoo email password (which I think you have as a backup recovery option for your FB account). Too many things forgotten![]()