I'm ENORMOUS and have been for a long time with a single baby. Everybody has thought I'd go early due to my size, but that's not an indication. I'm almost 39 weeks with no signs of labor in sight.
If you did go into early labor your baby would be just fine very little but your baby would be okay :)
I'm 32 weeks today and scared too. Think its normal that when you get close you start being more exited and scared and have all that feelings. Few days ago I start loosing my mucus plug and got scared if I'm gonna go in labour soon and start looking for a signs but now I'm more calm down and just trying to stay calm and positive. Just try not to stress and even when you get anxious do not think negative if you do get in labour early it means baby will be smaller so easier when you give birth, baby will be fine there's baby's who come earlier than yours and are fine plus if you will stress then it's more likely that you will have baby earlier. When I'm starting to be anxious I'm thinking of when I'm gonna hold my baby boy and see his face and it makes me feel warm inside if you know what I mean. Just don't stress what happen it meant to happen. ;-) good luck xxx