3 month old baby - allergy

Hi. Can anybody help my son. He is 3 months old.
He was born by c-section, then had urine infection, about 1 month in hospital, 5-6 antibiotics intravenous. From the beginning lactose, milk protein intolerance. 2 month was a horror to us (colics),sometimes he slept 2 hours per day. I listened to a stupid pediatritian and stopped breastfeeding and changed to Nutramigen (hydrolised milk protein). Now is a little better, but the allergy is coming back :( He is a very irritable baby, best at mornings, happy, smiling and then after every meal turns angry and crying over everything. He is starting to have red cheeks and chin, eyebrows, red skin over all body (a kind of red skin, when you are in a really hot bathtub), red skin under arms like polished, red around anus, and red dots on cheeks, chin and several on tummy. Every day big tummy. He vomits food 5-6 times after every feeding so we are giving him Nutriton - making food more dense - so the food is comming back 1-2 times after every feeding. A lot of gas, causing him pain to get rid of. Stool yellow and very loose. He loves to be naked. Prefers cold outside weather. Poor sleeper except the night - he sleeps well. He is very big 6,5 kg - 3 months, because he is so sick he wants to eat to get better all the time! Choking, back arching when feeding. Frequent violent hiccups. I have tried chamomilla 15 c at 2 month - a little better. But still evenings are the worse from 5 to 8 p.m. - horror, he is like... unsettled, thrashes around and then eventually falls asleep exhausted after fight, like scared or want something i don't understand. A week ago another pediatritian gave me SANUM FORTAKEHKL 5D - after 3 days/3 doses baby is more aware, smiling, better at 'gymnastic stuff', healed one eye (blocked terarducts),better stool (it was more greenish and loose) but after this medicine all the allergy started to come back (red dot polished cheeks and chin). I stopped the medicine several days ago, but symptoms are becoming to get worse. Please help. Ask me anything