Should i take my baby to doctors?

Kayley • 24 years old, I have a little boy who’s 4 and I’m TTC my second baby!! 👶🏻
This isn't urgent before you think i'm asking here before going to hospital. My son is 5 weeks old and has caught the cold off me, he is coughing which sounds quite mucusy. He is also sneezing and has runny eyes. Should i take him to the doctors or let him ride it out himself? 😕