No signs of baby coming out

Im left with 3 days to my edd and there isn’t any signs of baby coming out. No braxton hicks too and baby is super active in tummy. #1stimemom here and wondering if any mummy encounter same situation as me ? Heartburn is really crazy at night too. There was once where i cough and there’s palm size fluid gush out of my vagina. Thought it was my water bag and decided to call my gynae but was told to monitor. Happens just that one incident which im sure isn’t my pee. No contractions at all too. #advicepls