The Mass Effect 3 Server is unavailable at this time. Please try again later. - But that's not true!

My ME3 was working fine up until around an hour ago. My wife and I had been playing happily and one of our friends was going to join us, so we took a break until he got on. When he did, I booted up my ME3 again, but I now persistently get a message saying "The Mass Effect 3 Server is unavailable at this time. Please try again later.". I've tried rebooting my PC, and verifying my ME3 install, amongst other things. That made no difference at all. My wife, on the same network, going through the same router, can get on just fine.

I don't appear to be banned or anything (which would be odd, but would at least explain this), I'm able to log on here and to the ME3 forums and so on just fine.

I do not that when I restarted my PC, Origin updated itself, and my ME3 icon changed - it had been the standard ME3 icon - since release - (despite being the N7 Digital Deluxe ediiton), and it is now the correct N7  Digital Deluxe edition icon. All my friends who own any edition of ME3 are now shown correctly too. But this is completely useless because I just get "The Mass Effect 3 Server is unavailable at time." over, and over, and over. ]

This is particularly irritating because I just purchased the Omega DLC, but now cannot play that, either, as no DLC is allowed whilst you can't connect to the servers!

What the heck am I supposed to do about this?