36 week checkup

Midwife checked me last week (due to being in L&D for dehydration and contractions) I was soft and a fingertip, she said she felt baby head but baby wasn’t engaged. Well I had my 36 week checkup today (I’m 36+4) and I’m 2cm and 60% she kept saying baby head is engaged and she wants me to stay within an hour away from hospital until birth. Baby is measuring 2 weeks ahead already and we have another ultrasound scheduled in just under 2 weeks. But my midwife kept saying your cervix and everything is ripening nicely and is ready for baby. Before she left she said “I’ll see you at the ultrasound… maybe if the baby doesn’t come before.” I wasn’t expecting this news and am honestly having mixed emotions about it. I know it’s all a guessing game but how likely am I to go into labor? Anyone else have this happen and go into labor on their own?