extreme itching

I am am other of two boy and we have a family history of asthma and allergies. I recently began looking into homeopathic medicine due to my youngest child. He has severe eczema which started around 1 month old. I was breastfeeding but stopped due to colic and digestional upset. His pediatrician suggested a hperallergentic formula which we did use. He had an adverse to baths at first although he loves them now at 11 months. His skin is very dry, scaly and is extremely itchy at night to the point that he does not rest soundly. He appears to be tormented by the itching, crys and scratches while sleeping. seems to be hot natured, sweat easily. I have tried every topical cortidosone prescribed and oral antihistamine presibed with no relief. I have been researching miasms and believe that my son has psoric miasm and based on symptoms i gave him sulfur 30 5 pellets 3x day for 3 days. It does not seem to be working. He now has a runny nose that is green and clear that only runs during the day and sounds like congestion at night. Can anyone shed some light on miasms or if there is a possibility of being mislead by the symptoms? this is his pattern:
eating habits- breastfeed until 2 month of age began with digestion upsets fouls, mucusy bowel movements, was supplementing with a soy formaula 4oz per day.gave a hyperallergenic formula from 2.5 month til current.
sleeing habits- needed blow dryer on to sleep(whhite noise) wake frequently for a bottle still does.
adversion to bathing from the beginning although loves bathing now begins to scratch in the bath.
Has rash around mouth, that is fine and red. both arms in the joint area become inflammed, crack, dry and sometimes most, had pimples that are white and inflammed, has hyper pigmnetation from scarring. has been raw, bright, oozing gold liqiud at one time or another. not currently doing this rash that is scaly dry and thick around knee area, rash at the back of thigh near buttocks and a thick crusty, scaly, dry rash round both ankles. rash at the back of the neck that is dry. itchy scalp that began as cradle cap, extemely itchy all hair fell out and them returned. has had a yeast infection in neck once or twice with white pimples that opened then healed with anti fungal cream. Between months 4 and 8 would scratch until bloody in face, arms and legs.
Movement is important likes to be on the go but can get agitated or fussy if too much. Likes to spin around, silly, laughs at discipline sometimes, determined, curious,very independent. has been having tanturms since birth if does not like what is being done.
will try any food loves spinach and green beans also is a meat eater. Itches all day but worst at night beginning around 11 pm until about 4 am