Covid test?

My son has a respiratory thing going on. Tons of green snot, coughing, fussy, sleeping a lot more than normal...no fever though. We don’t take him out of the house much, except daycare, so I’m pretty sure he picked it up there. Should I have him Covid tested? We’re supposed to be seeing family this weekend and the majority of them are vaccinated already and have said they’re fine with us coming still, but I’m not super comfortable with it. I just don’t know because he hasn’t had a fever.