Feeling discouraged

I'm 39 weeks tomorrow. My last dr appt they said I probably wouldn't make it to my due date (9-13) but so far I have not even had any Braxton hicks and not lost mucus plug that I know of. I was so excited that baby would be coming soon but now I'm getting discouraged and feeling like he's going to go past the due date! I'm just so uncomfortable and every time I sit down he moves almost up into my chest and just stays like that for about an hour. Come on baby boy, your parents are anxiously awaiting your arrival!