You have an allergy to eggprotein.Your body has antibodies which reacts to the proteins that egg has.
It can be be manifested by-
Egg allergy is one of the allergies which tends to fade away with time but in your case it has persisted, so chances are it is hereditary.
On boiling the particular protein breaks down and consequently causes littlle or no reaction.
Treatment involves avoiding of egg protein and anti allergy medications and replacement of of the nutrients of egg with other suitable diet.
Hope this has been helpful and you are welcome to ask doubts if any.
The intensity of allergy in your case is mild otherwise you would not be able to consume boiled egg too.Therefore, in foods where the product in this case the egg protein is not concentrated causes minimal or no problem.
In your case,you do have an allergy as indicated by your symtoms but it is not severe.
A person may develop (but not necessarily) an allergic reaction to influenza vaccine if he/she is allergic to egg protein.That is because influenza and some other vaccines use components of chicken or egg. Earlier people with egg allergy were not administered influenza or MMR vaccines for the fear of developing an allergic reaction to the vaccines. But gradually these vaccines were given after an allergy tests and years of observation proved that very rarely people with allergy to egg actually developed an allergy to the vaccines.I hope this makes it clear.