I had the same thing happen to me this weekend. I'm only 33 weeks.
I called the gyn office and that's what they told me. It's normal to lose it it just means your cervix is opening and your body is getting ready for the baby.
I started losing mine at 34 weeks & my doctor said it's normal and okay as long as your water hasn't broke you don't need to worry.
No, but you should let your doctor know that you have started losing parts of your plug.