Here is the full list of all 13 Heavy Fire: Red Shadow trophies - there are 9 bronze, 3 silver and 1 gold.
Destroy 1000 vehicles
Call the helicopter support 30 times
Finish the game
Cleared HAGÅTÑA
Fire 1000 rockets
Get all upgrades
Cleared Andersen Air Force Base
Cleared Apra Harbor
Cleared Gun Beach
Let 100 pontoons land on the shore
Destroy 30 pontoons
Deliver 100 headshots
Kill 30,000 Invaders