To Run or Not to Run

I need some advice from my runner friends. I started running again and want to do a race this summer. I have never raced before although I used to run a lot. I think the longest distance I ever have run at one time was 6 or 7 miles and that was a couple of years ago. I have run on and off since then. I have only been running probably four or five times since Kellyn was born and I'm surprised how quickly I've improved. When I started I seriously couldn't even run for five minutes. (Probably had something to do with the feeling that all of my insides were somehow not attached anymore and they were bouncing around...oh blessed childbirth...) But I can run a couple of miles now without dying. So, here is my dilemma: Thanksgiving point is starting a half-marathon race this year. It is on April 24th. That would give me about 8 weeks to train. Could I do it? Should I do it? Would you do it? Will I burn myself out if I try to do it? Is a half-marathon too big to do for my first race? I really would like to run it. I need some input. Thank you.