I'm introverted, is that a bad thing?

I am an introvert. Sometimes it is difficult to talk to people because I don't think that they understand me. I have a lot of responsibilities that I have to take care of (a disabled mother, an absent father, a wreck of an older brother). I feel like I am much more mature than my peers, and cannot understand them. I am 21, and I am the primary breadwinner, I attend college full time, manage our budget, file tax returns, clean the house, do the laundry, etc. etc. In other words, I am the head of the household. I don't always have time to go out and socialize. What can I do?