Do i have the cold or?

Patient: ON the 6th of January i started feeling like i was gonna be sick, the whole day my temperature was varying from 36.8-37.0C. The next morning and the whole day (7th of January) i the fever didn’t drop below 37.2 and it ran up to 37.9C. The only symptom i had was a cough and than today i tought i was starting to feel better but my nose started running, and the cough continue. The fever was down and was around 36.6C but 15 mins ago i had 37.5C again. And that worries me because it was down the whole day and i don’t know why is it acting up. Is this a common cold or?

Symptoms: Coughing, fever, runny nose