I'm 36 weeks and a day and I am starting to lose mine. This is my second pregnancy too. Yes you can go into labor any day now that you got 37 weeks. The mucus plug builds back up sometimes so not to worry to much about it till the contractions start to come and are constant
I lost a little of mine at 36 weeks and I'll be 38 weeks in 2 days , no signs of labor yet .