Q: lost password id apple and lost recovery key

Do you have another trusted device for two-step verification?

See:  Frequently asked questions about two-step verification for Apple ID   

http://support.apple.com/kb/HT5570

What if I lose my Recovery Key?

If you lose your Recovery Key, you can replace it any time:

1. Go to My Apple ID.
2. Select Manage your Apple ID and sign in with your password and trusted device.
3. Select Password and Security.
4. Under Recovery Key, select Replace Lost Key.

When you create a new key, your old Recovery Key is no longer usable.

and

What if I forget my Apple ID password?

You can reset it at My Apple ID using your Recovery Key and one of your trusted devices.

Apple Support can't reset your password for you. To reset your password, you must have your Recovery Key and access to at least one of your trusted devices.

if you have neither your AppleID password, nor your Recovery Key, nor a trusted device, not even Apple can help you to get access to your account.

Contact Apple Support only they will be able to help you, if it is possible at all. See this webpage on how to contact Apple Support in your country: There are either telephone numbers given or an email form:

     Apple ID: Contacting Apple for help with Apple ID account security

Explain, that you need help with an account security problem.

with two step verification,if customer does not have recovery key or password apple cannot help them.