The PlayStation Store has been updated. If you are a PlayStation Plus subscriber, you can now download the PlayStation 3 version of NBA 2K14 for free, as mentioned last week.
I own it for all four consoles and PS4 is by far my favourite, but I decided this year I would go strictly with PS3 for anything serious as we 360/PS3 had a time release advantage.
Sounds like you downloaded the game trial instead. I believe those last for an hour.
I had been playing for a day or so before that though, and I went back and checked the PS Store and following exactly what I did before led to the full game. Anyway, I redownloaded the game and it's been working fine since then