Otc meds are not specifically for one person. Anyone can buy them as they are considered safe by the fda. Prescription meds are only used under a doctor's care to treat a specific person's needs.
The FDA regulates OTC drugs by using monographs.....its like a drug recipe book that shows the safe dosage and ingredients.
Your baby will be tired after the efforts of being born. But as well as adjusting to his new life outside your womb (uterus), he's on a tremendous growth spurt and will need plenty of sleep to fuel this. Your baby may sleep for up to 18 hours over the course of 24 hours.