Influenza A at 39 weeks

Has anyone gotten Influenza A or any other sickness right before their due date? I am due in a week and freaking out. My 3 yo at home is also sick and I am so worried about leaving her in case I go into labor. I normally go past my due date so I'm hoping baby holds off until we are all healthy. I have a super sore belly from coughing, have had shortness of breath, and very bad fatigue. I'm wondering how these symptoms will be if I go into labor the next few days.