P2 (without activation) - you play only on the issued PSN, you need a constant Internet connection. Trophies are not saved. Online mode is available with Ps+. Great for those who just need to go through the company in the game.
P3 (with activation) - play on any personal PSN. With and without the Internet. Trophies fall on your console., do not log in to the issued account until the end of the lease. Online mode is available with Ps+
P1 - play unlimited, without Internet. All the trophies fall on your console. As soon as you turn on the Internet, the game stops working, a lock appears on it (one-time unlimited)
You can remove the lock only by re-taking the data or buying the game, but while there is no Internet, you play unlimited