My poor baby is so sick :( He's been crying all day and just wants to be held. His body is warm and…

My poor baby is so sick :( He's been crying all day and just wants to be held. His body is warm and has a 99.9 temp (taken rectally for the accuracy) and I don't know what else to do for him. I'm about to warm a steam shower to see if that helps because he's been coughing and he's a little sniffly.Is it safe to give my son infant Tylenol? he's 2 months old and weighs somewhere around 9.5 lbs-10 lbs