When Alan puts the handcuffs on the cop and the car he throws the keys into the woods but when he wants to go to Sir-Save-A-Lot (The store) he has no problem starting the car and he didn't even have to look for the keys.
Yes, it's true. He does throw away the keys FOR THE HANDCUFFS. I have never met a single cop yet who has their handcuff keys on they car keys' key chain.