Hi there lPsYl,
AeonsBlue has you along the right path, can you confirm if you've attempted uninstalling the game, and utility files, then reinstalling and redownloading them on a wired connection? You are correct in that downloading it from the PSN store through the XMB menu should allow you to access the content in game. Can you try the advise provided my AeonsBlue and let us know if that helps!
Thanks,
^AJ