In many developed countries, government sponsored testing for many genetic and metabolic disorders is done at birth in all children. This allows the doctors to identify some rare disorders which are very serious, but can be treated if identified early.
Due to limited resources, this government sponsored testing is not available in Pakistan. Most of the tests included in newborn screening can not even be done in private sector because these are quite specialized tests.
Nonetheless, screening for hypothyroidism, which is one of the most common and critical disorder to identify at birth can be done in Pakistan. I suggest you ask your pediatrician if your newborn has been screened for hypothyroidism.