Facebook - is this creepy?

[Zhi Li]

If you have to ask if asking a girl out electronically is creepy, then you ARE creepy.
So, go for it.
A normal person has enough sense to know that a first date request should ALWAYS be in person.
So, you are abnormal.
It is not odd to send her a friend request if you know her. It sounds like you don't know her, though.
Otherwise you would have asked her out, one supposes.
-=-
You apparently want to be a poser. That is, have your fb appear to convey a certain image. I personally value authenticity over appearance. But like attracts like, so go for it. You should be getting "suggestions" for people who know your friends to be friended, I do not understand your need to add "random" people.