How long after you lost your mucus plug and the baby "drops" did labor happen?

I'm 35 weeks but have been measuring 2.5 weeks ahead since 20 weeks and I think my due date is off by two weeks anyways because if I go by my last period it was two weeks prior to what the doctor predicted for my first ultrasound of baby's age. So I think I'm two weeks farther because I've been measuring further. I lost my mucus plug a week ago and the baby dropped a few days ago. Moms who have already had babies how long after those occurred did you go into labor?