It is normal for a 5-week-old baby to have small nasal secretions, especially with the onset of cold weather. As long as the baby is drinking well and appears to be in good health otherwise, there is no need for concern. You can use a saline solution to clean the baby's nose and a bulb syringe can help clear out the mucus. If the baby develops a fever or starts coughing, it is important to consult a doctor or the COVID hotline for further advice.