I was induced with my first child, and I'm pretty sure that my due date was off by two weeks. And then she was induced a week earlier than that, so I believe she was three weeks early (even the doctor saw her come out and said "Oh, I guess she was earlier than I thought she was"). She was only 6 pounds, she had problems breastfeeding, and we were really worried about her weight because she was so tiny. What happened was that my first ultrasound measured at a due date of February 7. But my doctor, for some reason, insisted on going by the due date according to my last period, which was January 21. Then she wanted to induce a week early (she said she was afraid I wouldn't make it to the hospital in time, but I now believe she just wanted to schedule it to make it convenient for her, because there was no medical reason for it) and unfortunately I agreed. I regret it now, but she's a healthy 8 year old, so she's fine.
Anyway, my point is, hang in there! Take lots of walks, walk up and down stairs, get lots of rest (as much as you can). My mom was about two weeks past her due date with me and I finally came, so don't worry. Your baby will come when he/she is ready. Congratulations!!