I just wanted to put something online since so many people seem to have this issue and there seems to be no solution. I bought Dragon Age Inquisition for my PS4 through the PlayStation network. I had an issue where after it was ready to play if I started the game with my system connected to the internet, the game would not play. All I would get was a black screen. Also multiplayer was grayed out and had a red error message that said it would not be available until the full game was downloaded. When I looked at the game information for the download it still had about 35 of 48 GB to go before it was fully downloaded, so I put the PS4 in rest mode until it finished. When it finished multiplayer was no longer grayed out. All this time the single player campaign would start if I turn off the network connection. But I wanted the online features of the game as well as multiplayer to work.
At this point I was getting irritated because I had reached out to EA, checked all the boards and nobody had a clear solution. Finally after 3 days I was able to get EA to call me! Teresa a customer service agent called me and helped me in as little as 15mins! (I don't have any other way to give her 5 stars) What you need to do to resolve this issue is go to help.ea.com. From there click on the sign up link at the top of the page. Create a EA account there. After you are logged in sign out. Then go back and click the Log In link. At the lower portion of the window that pops up you will see an option to log in with your PSN account, click that. First you will input your email and password for your PSN account. Next it will prompt you for your email and password that you used to set up your EA account. Once you are logged in to your EA account it should say that your PSN account and EA account have been linked. Now restart you Dragon Age Inquisition game and everything should work.
I Hope this helps everyone in the future!