one month old sick and momma freaking out

My little boy will be a month old on Tuesday and he woke up this morning with a stuffy nose and a cough, no fever and still has an appetite I'm just worried about him. I will be calling his dr tomorrow and taking him in before it gets worse. Anyone else's little one gotten sick? He is breast fed and I thought that was supposed to help with immunity but I think I'm getting a cold myself so I'm so scared he got this from me, any advice?