I have tweeted Infinity Ward with screen shots as I have the exact same problem. They have not replied.
Ct16 United Kingdom.
DLC4 downloaded and season pass active, yet the DLC maps for zombies and multiplayer have the 'download' symbol next to them and you get taken back to the PS store. The PS store has the green tick which confirms it is downloaded and installed. Please help Activision.
I went into network settings and reset my licenses. I then went directly into ps store icon from home page and searched for DLC4 installed that way. It resolved the problem .