Q.1) What makes a photographer a photographer?
A.1) I think that what makes a photographer is his/her creativity and imagination.
Q.2) Is it creativity?
A.2) I believe it is as I mentioned in the first answer.
Q.3) Skill?
A.3) Probably not, I mean you don't have to be professional to take a picture.
Q.4) The kind of camera you are using to photograph?
A.4) That doesn't have anything to do with if you are a photographer or not.