"The man on the phone sounded like he was from a country I've never been to, I'll just leave it at that."
If he is not American, that doesent say that he has bad English skills. You could have always said, put me thru to an American...
"I don't know who to go to get my game fixed and I've exhausted all I know to try and fix it." One call made you exhausted?
Try live chat
"This seriously prevents me from buying anything else from Origin or from EA. I'm asking you guys for help because I don't know what to do anymore."
You never bought BF3?
Try valve support m8.
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If I am not wrong, you seem to be trying to activate the game on an origin account. You said you had played 200 hours, meaning the game must be attached to some other origin account. Login with your previous account, and itll automatically add the game