First of all why do think a newborn is deficient in calcium which does not happen normally. Babies exhibit several symptoms while suffering from calcium deficiency, which include:
Insomnia
Muscle Cramps
Muscle aches
Jitteriness
Tremors
Twitchiness
Jerking movements of limbs
Lowered heart rate
Seizures, due to a reduction in oxygen supply to the brain
Convulsions
Low calcium levels can cause low blood pressure in your baby
Tongue-thrusting, tongue and lip twitching, eye fluttering, etc.