Is it normal that i do not feel empathy for other human beings?

Hey guys, the question part of this is just a formality. I know that that is very not normal, I would just like a few other opinions. Let me give you a little background info. I don't feel many emotions at all. Every so often I will feel one of the base emotions- the very basic emotions such as fear, jealousy, excitement, and anger. Unfortunately I very rarely, as in once a month or so do I get to experience some of the so-called, higher emotions, such as joy, pity, mercy, and love. And even rarer still do I ever find someone I can empathize with. I can be one of the most charming, seemingly honest and open people I know, and in the blink of an eye, drop the act and become the cold, calculating predator I actually am. I lie with my words, I lie with my body language, and I lie with my smile. Not surprisingly, I have had to hide this all my life, and that is how I've done it. I know what emotions look like from the outside, and I've sat in front of my mirror getting a certain look right before. Grief is the hardest one. I'll never understand why people take so much time to get over their emotions when they know it won't change a thing, but i digress... I have always assumed I'm just weird until I took a psychology class at my college, UNC Chapel Hill, and apparently I am almost a stereotypical psychopath. I say almost, because the very essence of psychopathy, an inability to empathize ever, isn't really present in me. There are exactly 5 people in the world that I would hurt when they did. The rest of you I could literally share a beer with, work with, seduce, hangout with, and then without a hesitation, strap you down to a table and laugh as I slowly tortured the life out of you. Not that I am going to do any of that, for one reason its not very smart to do that, and the other is that I have chosen to live up to certain standards, why? I have no idea, maybe some sick way to challenge myself, but the point is I would not feel anything emotionally about it. But these five people, three I have known a long time, and two I have only just met in the past few years of my life, I would die if anything happened to. Not literally, but it does feel as if my world revolves around them. I assume since I make very little real emotional connections, the few I do make are bound to mean more to me than what I assume normal people feel. If anyone ever touched on of my 'chosen few' yo could call them, then I would be burying them in my woods (teeth broken out and dissolved in hydrofluoric acid and fingerprints burnt off of course). Its not right how much I feel for these people. But anyways, the fact that I am able to care about more than myself is in direct conflict with the psychopathic norm. And the other reason I'm not totally convinced its that is that I have no reason I am like this. Normally psychopaths were abused as children, but they loved me and never hurt me like that. Anyways, please leave comments with thoughts