I’m having the exact same problem. I downloaded the game through Origins (my system meets all of the requirements and all of the drivers are up to date) and the game won’t even launch.
I was in a chat with EA Support for over an hour. They had me try right clicking on the shortcut and ‘run as administrator’. It didn’t work. The support tech said they were forwarding the problem and it ‘will be resolved within 24 hours.’ Hopefully they come through… Reguardless, I fiddled with the window sizes and compatibility mode (that sometimes helps with other PC games), but I didn't have any luck with either of them on my rig.
I have to agree; this is extremely frustrating pre-ordering a premium game (let’s face it – it wasn’t $9.99) and having it not work. The amount of time and effort I've put into it jus trying to make it work almost makes me want to just request a refund.