5 week old has cold

My daughter is 2.5 and brought home a cold. She started with a runny nose now it’s up to a cough. The highest temp she’s had was 99.

I’m so scared for my 5 week old son to be really sick. It’s inevitable. I can already hear the snot in the back of his throat and he’s sneezing like crazy. No temp or anything yet. Still eating normally but probably sleeping a little more.

My daughter never got sick when she was this small so I really don’t know what to expect. I’m sure it’s going to be hell. What signs should I look for to take him to dr/ER (since it’s the weekend)