Welcome to the forum!
Runny nose and sore throat isn't a sign of labor, and if you were to deliver anytime now, your baby is not likely to be affected as you'd have passed on antibodies to your baby.
You can visit a GP for some remedy and let him know that you may be delivering soon in case this affects his prescriptions.
I came down with a bad cold too 2 days before my scheduled C-section. Had cough, runny nose and sore throat. Baby came out well and I must say that the recovery process was most unforgettable because I would cringe in pain every time I cough or sneeze!
take care and drink plenty of water!