Early labor at 33 weeks

Hello. I am in the early stages of labor. I am 33 weeks and 2 days. I have very painful contractions every five to nine minutes, pain in my back that if I'm standing makes me have to lean on something for a minute or two, along with pelvic pressure and a stabbing pain in my back. I'm already dilated to a one. My csection is scheduled for Feb 15th but my doc doesn't think I will make it obviously. I've been to the hospital which is when I found out about dilation wednesday day. They told me based on ultrasound they think I am actually 35 weeks so they don't want to stop labor. They want me to push labor along (by staying active and walking) and when contractions are closer and/or more painful to come back and they will move my csection to asap. I don't know what to do bc they are more painful especially with this new pain in my back but I don't know if baby is actually ready and I'm further along. I know I should listen to the doctors but could they really be right. My husband, mil, and mother all think they are right and that bc I have anxiety disorder I am just scared. But I also know that pain degree doesn't actually matter does it? Its how close the contractions are. I am 45 minutes from the hospital and the pain keeps getting worse should I wake my husband and go? Or should I just wait? He is all I have to take me and he leaves in the morning for a ten hour shift. I am just lost. T.I.A sorry for the lots of questions.