Hi,

Your history tells the story. You have an allergic family history and (I know from personal as well as professional experience) that having children with allergies is a very tough gig. Made more so because so few people understand what you are going through and you get so much conflicting advice.
I always say to mums n this situation that it's like tipping a 5000 piece jigsaw on the floor and trying to put it all together. It's complicated to say the least. It is extremely likely that your baby is reacting to foreign proteins in your milk. It may be dairy, but it may be more than that. (And I bet if you talk to your mum you will find that you were pretty much the same.
What are you allergic to, do you know? What are the triggers to your allergies, asthma and hives? Your baby is your child.
Keeping your baby on breastmilk while you sort this out is really important - and you can make it into a win/win situation. In fact breastfeeding mothers have many more options for feeding and comforting their babies than bottle feeding mothers. In the short term, an elemental formula may seem to offer a solution - but it doesn't address the underlying problems with your baby's immune system or allergies. Continuing to breastfeed will support your child's immune system. Either way - things will get easier as your little one gets older. Breastfeeding protects against infection and breastmilk has anti-inflammatory properties.
Joy Anderson is a dietician with expertise in allergies and intolerances. Her website is dieteticsandlactation.com.au and she does skype consultations. "Colic Solved" is a good and easy read and explains the relationship between reflux and allergies - you might find it in your ABA library or available at Mothers Direct