product key error

Hi, I created an ea account and purchased battlefiled 3 premium. After downloading the game, I tried to launch it by connecting to a server.

Problem: I am shown an error code telling me that no bf account linked to my account can be found. I am then asked for the product key for my purchase.

Big Problem: by going to the ea launcher, I obviously retrieve my key, but when I want to enter it on the error page mentioned above, I am told that I am not connected to the internet while I am looking a movie streaming right now...

LOL

I will be very grateful for any help you can give me.

I obviously have:

• restart my pc
• restart my connection 
• uninstall reinstall the game 
• check that the game was purchased on the correct account 
• reset my computer - updated the punkbuster 
• try with a friend's computer living on the other side of the country 
• buy the game on another account (I already tried to get back into the game in December but this problem had already blocked me)
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• Sorry for the angry tone of the message, but I'm fed up: still having problems with ea platforms