Hector's purple robe still has creases in it from being folded because it is new.
Towards the end when in their panic they stumble over the entirely charred and blackened body of their burned-to-death friend, his clothes are completely unburned.
Amanda is the landlord and her Dad is the owner. Even though they have keys for the entire building, she suddenly can't get into Shep's apartment and has the detective knock down the door.