I am a medical researcher.
What you need to know is that most, if not all, anti vomiting medicines work by affecting canniboids, dopamine, histamine, serotonins, and choline. ALL of these are in some way connected to the endocrine system. The kind of doctor you need to see is probably an endocrinologist.
All of my ideas are based on that assumption, except for one. I noted that there was a nurse that shoved a tube down the baby's throat very early after birth. That is a possible and very easy way to deliver bacteria into his stomach area. There is a bacteria called H. Pylori that WILL cause gerd type symptoms (vomiting)and hiccups in babies. So one test you should ask for is H Pylori.
My other thought is, blood sugar deregulation, ie: hyperglycemia. Hiccups, eczema and vomiting are all symptoms in hyperglycemia.
Hiccups are a muscle spasm of the diaphram caused by low sodium, low potassium and / or high glucose, or stomach inflammation caused by stomach bacteria (h pylori). Eczema is seen in high blood glucose and low sodium. Cow's milk is very high in quickly absorbed sugar that causes blood glucose to soar. Some milk intolerance can be due to this fact. 25% of those with hyperglycemia/diabetic ketoacidosis will have vomiting.
Gluten intolerance is now very common, is typically rooted in celiacs, and celiacs is typically rooted in adrenal disease because it is adrenal hormones that affect how you metabolise foods and blood sugar. Hyperglycemia will be seen with HIGH CORTISOL hormones.
Adrenal hormones also affect blood pressure issues, and high pressure in the head can cause vomiting issues.
Tests that you should be very agressively pressing for should be:
Cortisol levels , aldosterone, renin, sodium and potassium levels (test all at the same time) a 24 hour glucose tolerance test, and blood pressure. If there is no way to get a cuff reading for blood pressure, an eye doctor can see high BP in the eye. His urine should be tested to see if he is dumping protien, sugar, sodium, or calcium.
Testing for metabolic alkalosis should be done also. When someone is vomiting that much , they will get quickly depleted in potassium...in fact probably massive potassium losses. When that nurse suctioned his stomach, she removed all his gastric juice. This will cause exactly what I just mentioned,low potassium, which can affect blood glucose and sodium levels, and to boot leave a person susseptable to infections exactly like h pylori because all of his good biotics were removed.
You should definitely start some sort of probiotic. Accidophilus, lacctobaccilus...and also low dose naltrexone (LDN). Ask your doc for LDN prescription. If you can't get it , there are ways to purchase it online and make a liquid yourself. LDN helps repair gut biotics. Try to get some bananas and potatoes (high potassium foods) into a regular daily spot in his diet. Magnesium citrate might be good also- it will help with absorption of potassium. Watch for hyperglycemic symptoms after milk and carb foods!- look them up online.
The gagging and coughing he is doing is actually a normal, automatic trigger the body does when there is vomiting- it keeps the person from inhaling the vomit into his lungs.
Gail