To find the Landscaper’s Keys in Dead Island 2, travel to Colt’s house near his pool. We came here towards the end of the game.
Once there, you’ll find Green Thumb Eddie.
Take him out then loot the Landscaper’s Keys from where he falls. Now that you have the keys head to the northwestern side of Emma’s house.
When you arrive, loot Eddie’s Toolbox then pick up the Vampiric Machine Pistol.