33 weeks 4 days, already dropping?

Brittany • Mommy of my rainbow baby 👶🏻 🌈
I went to the doctor Tuesday, being 33 weeks 1 day, but my doctor said my daughter has already dropped a bit & gives me about 3-4 weeks until I go into labor. Her legs & head measured 1 day ahead & her tummy was measuring to be 35 weeks which altogether estimated her weight to be 5 lbs 9 oz already. I've also had severe Braxton hicks & pressure down there, but it's less than 8 in a day, so my Dr said not to worry, but if I was to have her in 3-4 weeks, would she have to stay in the hospital longer than normal or would she get to come home with me when I'm released?