Yes it's normal.. but no need to do anything.. you still just wait for the actual signs of labor. The 3 to 5 min contractions, heavy bleading (not bloody show) or water breaking. Contractions need to be painful
You're getting closer to delivering the baby. I was just reading about 7 signs you're getting closer and that was two of them. I'm 3 cm dilated and I started losing my mucus plug too. If you start having contractions in your lower back more frequently then it would be a time to see if you have to go in.