Since your baby is so young.. .you NEED to ask your Pediatrician about what to give her...
Do NOT give over the counter meds.... unless directed by her Doctor.
Take her to the Doctor. Tylenol only 'reduces' the fever, NOT 'cure' the illness. Keep an eye on her temperature... as fevers can return. A recurring fever means illness is still there... or indicates an infection/bacterial infection.
Don't be surprised if she is fussier than usual or can't sleep... sick babies react this way.
Let her rest/nap whenever she needs to, or as you have scheduled for her. Sleep is restorative and helps the body to heal.
Also, keep her hydrated... nursing her frequently or her bottle on demand. This gives them nutrition and hydration.
Keep an eye on the color of the mucous, and her coughing sounds... AND her breathing ability. Babies this age, don't always know how to breath through their mouth if their nose is stuffed up. Keep her head elevated if need be. If it gets worse, take her in to the Doctor pronto.
A bulb syringe can be used. But SPARINGLY. If used too often, it can abrade the inner nostrils.
Ask your Pediatrician.
All the best,