Hmm, if there is a hitman after that little girl, he's gonna be in for a big surprise. Even if Harry wants to avoid the magical world, you know he's going to use everything at his disposal to protect that young girl. What's going to really make his life "interesting" is if being around him stimulates her to do some "accidental" magic.
On a slightly different note, you've got one small problem I've noticed throughout these chapters so far. You have an occassional problem with near-homonyms: "quite" for "quiet", "through" for "thorough", etc.
Author's response
Thanks for pointing that out, my fingers tend to get ahead of my mind, and as good as I am a proofreading others writings, I tend to see what I meant to put instead of what is actually there when it comes to my own work.