Apple ID password not recognized after change to iPhone 6+

Apple ID password was not recognized a few days after switching to iPhone 6+.

Since the apple ID was at icloud.com, no emails can be read.

Reseting the password through security question proved futile - the system doesn't recognise the correct answers either.

Now it blocked the account for too many attempts to use the correct password, which is not considered correct by the system.

Created new Apple ID.

Erased the phone via iTunes, but the iPhone is still connected to the first Apple ID, which is blocked and password is not recognized.

No one to call - where's Apple service's number?

No where to write - where's the email to an Apple service person?

The system blocks me out - is there any HUMAN BEING THERE that can help?