Yikes. You should have canceled your exam before you got your score. Honestly, I doubt you have a good shot at either with that score. At best, you're looking at T4, possibly even non-ABA accredited. If you really want to go to law school, you need to retake the LSAT and get a score of about 30 or 40 points higher to compensate for your first score and GPA. Take a class and make sure you're prepared. That will let schools know that you are capable of doing much better and just had a bad day. Say you became ill the morning of the exam or something - obviously don't say that you just got drunk and slept late.
Moreover, it sounds like you don't really want to go to law school. Are you sure it wasn't subconscious self-sabotage? Maybe your family expects you to go. They'll get over it. It's your life, and if you don't want to go to law school, you shouldn't even apply because a) it's three years of your life and a lot of work and b) if you don't even want to be there, you're probably not going to do very well anyway. Do some soul searching and decide what you want. If it's law school, get serious about the LSAT and boost your score. And get some stellar letters of recommendation and write a brilliant personal statement.