I just thought I'd post an update (I meant to before now, but everything has been hectic!)
When I got to a week overdue, they decided to induce me because my blood pressure, and the first round of pitocin still did the same thing the 'false' labor did (it got intense and then died away). The second round got her to drop, they broke my water and then labor progressed pretty quickly. With everything progressing so slowly, they expected me to labor another 20 hours or so after they broke my water, so I opted for an epidural. I hadn't been sure I wanted one (I wanted a more natural labor, and it went so differently than I had wanted.) However, the epidural seemed to work very well and allowed my body to relax and I slept which they said might have been what made everything go so quickly after the epidural.
Anyway: the best part, after almost 31 hours at the hospital I was able to deliver a beautiful 9 lb 4 oz baby girl. With everything that happened, I'm glad I was induced because if she was much bigger I think I would have needed a c-section or foreseps or something.
Thank you for all the support.