Words of Encouragement Please !

So I just had my baby boy on 10/29. Starting Monday my fiancé will be going back to work full time. We are currently sharing a car for the next month until he gets his new one. So that leaves me to be a chauffeur to both my six year old and him. I will have to drop him off to work and then go straight to take my son to school. I’m so scared about taking baby to do drop offs with me being that he will only be a week old. It’s bothering me to the point where I feel emotional about it as if I’m a bad mom exposing him too soon. Of course he will be completely covered (car seat cover, blanket, and snowsuit) but I still feel like the cool air might do something to him. This issue has even caused arguments between my fiancé and I because I’m so against it but he feels we have no other choice. I’ve googled and read that as long as he’s not being exposed to individuals and germy places directly that it’s okay but I’m not sure. He will only be walked from the front door to the car and then back from the car to home. Any words of advice or encouragement??