There are few genuine medical reasons for not vaccinating your child or yourself. It is perfectly safe for your children to be vaccinated if you or someone in the household is pregnant. It is OK to be vaccinated while taking antibiotics. Some of the shots are good at preventing common childhood illnesses which can sometimes be quite serious for your child's health. All the more reason to help this little person stay healthy.
Premature infants have the same schedule and doses as full term babies.
The immunizations will not make it more likely to become ill with a disease to which your child has been exposed. Persons with HIV should consult their Physician as to when and with what to be vaccinated. Women who are breast-feeding can also be vaccinated safely. These kind of allergies or the history of such allergies in a family do NOT prevent vaccination. Very few people have the kind of allergies that would prevent them from being vaccinated.