There should be only two in the lab. one containing clothes and the lock pick, and the crate containing either Medkits or Energy Drinks (loot is different in both games LD and LD+.)
I don't see a crate with the lock pick in it I only found was clothes and stamina drink in the ruined lab and in the store was a hat and a fishing rod and in the warehouse was a logbook nothing else but no lock pick