To unlock this trophy you must be at least level 31 in game, There are 6 different Jason's you'll need to play as. You need to make sure you finish a match whether you win or lose. If the host leaves or you get kicked or disconnected it will not count.
The Jason's are unlocked as follows.
Part 3 - Unlocked from the start
Part 6 - Unlocked at level 3
Part 7 - Unlocked at level 7
Part 2 - Unlocked at level 13
Part 8 - Unlocked at level 20
Part 9 - Unlocked at level 31
There is also Part 4 (Level 44) but that Jason was added in free DLC and is not needed for the trophy.