Could Not Activate

Dear support,

I've been used Origin in past. I have recently installed the new EA application and downloaded my 4 games. Two of these games work fine, but two (Batlefield 3, and Crysis 2 Maximum Edition) don't start. I get an error box  "We could not activate ... using provided Origin Account provided..." - see error-1.png.

If I click the button Enter Product Key, I get the second error message  "We're sorry, and error has occurred" - see error-2.png.

I'm online, and I tried reinstalling the EA application, but it didn't help. I'm using Windows 10. Let me know if you need more information.