I wouldn't use anything with codeine for a a bub ander 2 as they don't have a cough reflex yet so have danger of suffocating. Codeine relaxes the sphincter (flap of skin separating the throat and airway) , bub can't cough to "open" it, flap closes, bub can't breathe! Cough and cold meds are NO longer recommended in bub under 2 as they cause more harm then good. Normal coughs and colds are usually viral and will fix themselves in their own time. The main thing is to get bub comfortable.

You can use paracetamol for a high temp (I would avoid Nurofen - too many complications to list!). However some temp increase is ok to help fight the virus. Keep an eye on it though and if over 38 deg, use damp wipes/lukewarm bath and paracetamol every 4 hours upto 4 times a day.