2 Weeks Late Period, Lots Of Mucus 38 1/2 Weeks And Having Mild Cramping?

38 1/2 weeks and having mild cramping? - 2 weeks late period, lots of mucus

So here's my story: On Wednesday I had is my doctors appointment and it turns out that I was extended cm 1, and then decided to extend the neck (very unpleasant!). Approximately 4 hours later I lost my mucus plug, which was not much left, so I think that the whole thing was. This morning I realized I had some minor pains like cramps from time, I assumed they were Braxton Hicks, I do not much think so. Well, it's now 4 hours later and I am always with them, no leakage of fluid and cramping seems to have a little stronger. The baby is still moving like normal. I wonder if you think they are Braxton Hicks or if you think this is the beginning of the work?
I also went for 2 long walks yesterday and my doctor told meThis could speed things up, I still see a walk later in the evening. Thank you for your contribution!