Okay so basically Peter has some mad hack powers, and I do not want to step on OOC toes. Here is a handy-dandy spread of what he can do, so a simple "yes" or "no" will be fine.
Mimickry: Only worry about this if you are a Heroes character.
Empathy: I play the "empath" part of his ability literally, so he can feel the emotions of people around him.
Telepathy: He is able to read people's minds. Can also push their thoughts and make them see things. He'd only do the mind-reading bit, unless RP demanded otherwise.
Healing: His blood has healing properties and would likely carry a vial of it with him in emergencies.
Clairsentience: He can see the history of any object he touches. So if he has his hands on your stuff, he will see where it's been.