What is "Self?"

As we explore self this week in Philosophy, I have to question, what is it that I consider to be "self?" Do I consider my personality traits self? What about my body parts? What about my character?
This got me thinking about a past experience of mine. I brought home a boy that my father absolutely hated, and I mean, like loathing hate. When I asked my dad what his deal was he said that his character was questionable and he didn't trust him.
So, is this really an issue? Was this guys' character really something so deep within himself that it distinguished what he was as a person completely?
As we had our class discussion today and we took our positions, I looked closer at what Plato said about "self." He basically said that our soul is what is our actual self, and our body is just a tool. This was easy to agree with because I personally believe that our self has a direct correlation with our soul. When I think of what my "self" is made of, I would say things like: honest, trustworthy, happy, and loving. I wouldn't generally think of saying that my self is my brown eyes, my brown hair, etc. Yes, those things are part of me, and technically I guess they are what make me, me, but, what really makes me who I am as a person are my traits and qualities. However, I can see who this could be so controversial. I myself as I write this blog entry am finding myself questioning my "self."