Zennie,
I lost my mucus plug at 35 weeks and had my ds the next day. I rang the hospital as I also had what I thought was just braxton hicks as that is what the nurses said but at 2 am the next morning my waters broke and 3hrs later he was born.
You should always notify your ob gp or hospital as you are under 37 weeks just to be on the safe side!
Goodluck!