My 19-month-old boy has nasal discharge, sneezing, watery eyes, redness, seems to have an itchy palate, etc.

Based on the symptoms described, it is likely that your 19-month-old child has a cold. It is recommended to continue nasal hygiene techniques and use a saline solution to help reduce mucus and relieve symptoms. If there is no improvement in a couple of days, it may be best to consult a healthcare professional for further advice.