Measuring ahead?

Ka

I am currently 34w + 2d but baby boy is measuring at 37w and is 6 pounds as of last Wednesday (last growth scan). My due date is technically 10/13 and my dr said they don’t change due dates this late in pregnancy and that he’s “just a big baby”. I’ve been experiencing really bad Braxton hicks/contractions since like 30w but haven’t lost my mucus plug (that I know of). Do you think baby will come early? Or is this normal? With his current measurements, due date would put me at 9/23…anyone else experience this? I also feel like my due date may have been calculated wrong…my last period was Dec 22nd.