Frequent nosebleeds in children can occur due to dry air, nose picking, allergies, or irritation of the nasal lining. If your child's teeth are starting to fall out, it is often normal if the child is around 5-7 years old, as this is the usual age when baby teeth begin to fall and permanent teeth grow. It is unlikely to be a side effect of homoeopathic medicine. However, if nosebleeds happen very often or the child shows other symptoms like weakness or excessive bleeding, it is best to consult a pediatrician or ENT doctor for proper evaluation.