I am not teacher but as far as I know:
Faked: expression of something very different to original. When you fake you are not yourself at all. You pretend to be someone else.
Counterfeit: expression of something non original that pretends to be original. Usually apply to money. They usually take counterfeit money from gangsters.
Spurious: expression of behavior that apply only to part of entirety. You haven't been on party but you act as you were. Your friends believe you were on party. You are spurious.