34 weeks, baby dropped and loosing plug? Should I be concerned?

I’ll be 34 weeks tomorrow and I’ve been loosing pieces of my plug consistently since baby dropped this past weekend. I’ve been loosing pieces here and there for the past few months, but that was sporadic. I’m seeing pieces multiple times a day (so not every time I go to the bathroom).

With my first I went over and my water broke, so this feels like new territory!

I’ve also noticed an increase in Braxton Hicks and I’m nesting like crazy the past two days! Anyone got any insight? Does this mean labor is near? Should I talk to my doctor because I’m so early yet? My next appointment isn’t until the 21st.