Baby questions

I need a little help ladies.. i never lost my mucus plug with my other two kids and the doctor broke my water both times. The last time i had a baby was 6 yrs ago.. January 1st i lost my mucus plug I’m currently 35 weeks and 4 days.. i have contractions almost everyday went to the doctors today and they told me the baby has dropped and my cervix is really low.. my c section is scheduled for February 8th but my doctor said she doesn’t think i will make it that far.. has as anyone else experienced this?? How long after you lose your plug do you have the baby ?? Will my baby come early ??