Hello girls, I'm having my second labor. 37 weeks and 3 days. For over…

Hello girls, I'm having my second labor. 37 weeks and 3 days. For over a week now I have false contractions. Today at 9 am, the contractions started with pain in my lower abdomen and back. I thought it was just false, but it hasn't stopped yet. I don't know what to think, I don't want to go to the hospital prematurely. A week ago, I saw a doctor, she said that the baby's head is low, you can feel it when you look at her from the chair. She also said that the cervix is letting through one finger. Sorry if there are any mistakes in the text!