You can still go to your due date. My baby dropped at 34 weeks and I was 80% 4 cm at 36 weeks and I went to 39 weeks. 37 is no longer considered full term either.
Heat packs, and pillow support when sleeping is about all you can do to help relieve the pain, or maybe gently massage the area. As for how much further you have to go.... Is anyone's guess, babies tend to come when they please, unless medical intervention makes it otherwise. At Least your on the home stretch now...