Q: They have an email address that I no longer use and that is where they are sending my reset to

There should be other methods of retrieving passwords/resetting accounts. Hold tight, I will find something to help you with this

It isn't looking good for you, after the Apple website has said that there is no other way to reset passwords (if that is what you seem to be attempting to do) then to either remember your security questions, have access to your primary or rescue email, or have two step verification turned on. You may have to check out Apple ID: Contacting Apple for help with Apple ID account security (That is the stating step to getting help from the Support a Team)

You may also want to check out If you forgot your Apple ID password  which is where I got this info from, it might help you further, and includes steps for everything if it is needed.

Please rate this post if it helped you

http://support.apple.com/kb/HT5312

-If you established a rescue email address, there will be a link on the "Passwords & Security" page of id.apple.com.  Clicking the link will send the reset to your rescue email address (NOTE:  This is not the same address as your Apple ID email)

-If there is no link on the page, then you didn't establish a rescue email address.  Contact AppleCare at 800.694.7466 (If you are in the US), and ask for account security.  You will need to answer some questions to verify your identity, AND you will need access to a computer to generate a temporary support pin.

-If you are not in the US, click http://support.apple.com/kb/HT5699 - Apple ID: Contacting Apple for help with Apple ID account security

HTH

You should be able to submit a "ticket" on the link I gave in my post, they should be able to help you there.