How much should I push myself?? Input Needed!

Tonight at boot camp some of the members were talking about training for a half-marathon and were trying to convince me to try it as well. I've never run more than 3 miles at a time and while I've always wondered if I should run the Music City Half-Marathon, I've always been too chicken to do so.

So, here's the question with the date of April in mind:

Should I try to run a half-marathon?