Lost Product Code

Sorry to hear about your problem.  Unfortunately there's nothing anyone here can do for you.
The AHQ is for "player-to-player" technical self-help and game-play discussions.
We're all just fellow gamers, doin' the best we can...

You need "official" support from the EA Game Advisors.

They are the only ones who can do anything about accounts and product codes.

They should be able to look-up your old BioWare registration info and get your issue sorted.

And they can only be reached using the Help Center. (I just did so three times this past week using both the "Live Chat" and "Call Me" options.)

If you need a guide to navigating the Help Center see the topic: Step-by-Step: How to Contact an EA Game Advisor (pinned at the top of this forum) or the Announcement: "For a walkthrough on how to contact an EA Advisor Click here." (on the right-hand side.)

After getting to the Help Center and filling out the required information, (Product/Problem/Platform)
look for the "Chat Now", "Call Me / Call Now", or "Email Now" buttons, not the AHQ "Ask Now" one.  (You've already done that.)
The exact options you see may vary depending on your region and the time-of-day.

If you select "Chat Now" or "Call Now", be sure you have enough time (at least one hour) to wait before being connected to someone.  😕mileyfrustrated:

Good Luck! 

Right, I understand all that. Heres the problem:

"After getting to the Help Center and filling out the required information, (Product/Problem/Platform)
look for the "Chat Now", "Call Me / Call Now", or "Email Now" buttons, not the AHQ "Ask Now" one.  (You've already done that.)
The exact options you see may vary depending on your region and the time-of-day."

This step doesn't work for me. I'll check back tomorrow and see if chat/call pop up as options, but 'Email Now' isn't an option presented to me either for any of several issue types I attempted to submit, which I find kind of surprising because I wouldn't expect EA to be unable to receive email after business hours. When I get to the end of a help center ticket, no options are presented except back. So, yea. I'll check tomorrow. Maybe at least email will be working by then!

Actually they made a purposeful choice to eliminate eMail for a majority of situations, over a year ago,  The only one they are usually fairly consistent across the board about offering is Live Chat.  Certain things, cases involving monetary disputes, and disputes about banning, and I think one other thing, those almost always go through eMail along the way. 

Alrighty. I see Live Chat as an option, and am considerably less worried now as a result. Will try through that.