I had my AZ vaccination this week and felt OK for the first few hours and then like you, cold, hot, and very achy. I had a feeling I would feel a bit rough as I had the same with the flu jab so I took two paracetamol before I went and two about 4 hours later. I was tired all through day 2 and not quite with it, but fully recovered by day 3.
My arm still hurts like its been whacked with a crow bar though and its now day 5.
OH had no issues at all, not even a slightest sting in the arm.