Third Pregnancy - First time exceeded 37weeks bum in tummy.

This is my first time exceeding and Im currently at 38weeks 2days with no sign. My first was born at 37weeks 6days naturally waterbroke at home & pushed out within 45mins when in SGH. My second born at 37weeks 4days cause upon checkup, doc said im already dialated 4cm hence laboured early and pushed out after 4hr of contraction started. (Total in labour 12hrs cause no sign for the first 9hrs). Both experienced no inducing and normal V delivery. I am very worried. Last week I was only 37weeks 2days and doc said Im only 1cm stretch. Baby is good and normal. Waterbag lvl too seems normal. This 31st will be my checkup and I really hope my cervix dilated at least 4cm-5cm or more. Any mommy facing the similarity and what adv did your doc share? What options etc that we will be given? Do share your experience.