How to reset Apple ID PW without knowing original PW and answer to security question?
"If you forgot your Apple ID password" on Apple's support website provides the steps to reset your password, however you have stated you do have not access to the original email address and a security question was not set up.

Therefore you will need to contact Apple directly. "Contacting Apple for help with Apple ID account security" provides a country-by-country list of contacts for Apple ID password issues.