I have the same problem.
I have play a few games before the issue occur.
But when I want to enter the game again, a window pop up and shows a message "We are unable to connect to EA servers to activate Fifa 14 Ultimate edition on this computer using your account."
Exact same problem. Been having it all week. Haven't been able to play at all. 'Origin unifies your gaming life'. Oh really? No it doesn't, it makes it a complete pain. Sort it out, EA. Not being able to play a game I've pre-ordered is completely unacceptable. You should compensate all the people who've had this issue. Really pathetic service. Steam doesn't come with these sorts of problems. How embarrassing for you.