Impending labor signs

Curious what others experiences are...my due date is July 3. Dr said that he’s almost positive that I won’t make it to my due date. Part of that is I just had a baby less than a year ago (baby passed away due to Trisomy 13) and also that this is my 3rd baby in 3 years. I’ve been noticing an increase in my Braxton Hicks contractions, and am having more frequent bowel movements, along with occasional periods of increased pressure on my pelvis. Are those enough signs to say that baby is most likely going to come sooner rather than later?