I've also been having similar issues for the last 2 days. Sometimes I'm able to log in, sometimes not at all. And sometimes on second or third try, I manage to get in. Then after a few minutes, it gets stuck in a loading screen. Sometimes, for half an hour while in UT, everything goes well: I'm able to go through actions in the menu, manage the squad, make a transfer... and even start a game. I finish the game without any interruption. But afterwards it again gets stuck in loading. After waiting for a while, I'm shown an error message to the effect that "EA servers are unavailable" or "You have no internet connection" (which I know is certainly false) or something.
Quite frustrating.