I was referring to the Opera account indeed, which can be in the Browser, on the website, etc. all being handled by the same authentication layer. A mobile sms confirmation code for unrecognized devices would be a good start.
To change your profile photo, click on your avatar at the top of the page and choose Edit profile - though I'm guessing you already did.
If you use Sync or these forums, you have to provide some information to register - your email address at minimum in order to allow you to reset your password should you forget it. No, Opera does not record your financial information or comparable private data - that would violate a number of laws.
Seems like this forum doesn't support BB, so I have to post this without spoilers.
1)Trying to log in with correct password
Trying to log in again with new password