Re: Dragon Age Awakening; Lost Product Key
Fer the luva'gawd, read any one of the dozens of topics already posted here about "lost key".
Yes, you can get the game authorized to your account again without having to (re-)purchase it.
No, you can't obtain the key directly. Only the EA Game Advisors can "look under the covers" at your account and determine your authorization. Contact them using the Help Center (link in the top-right of every page.)