infant with possible iron deficiency and allergies

My 10 month old son has been suffering from terrible allergies (he has always had bad eczema but we ended up in the ER after he tried cashews). We got a blood test and he registered class 4 ige sensitivity to sesame, egg whites, soy, almond and peanuts.

He is still being breastfed and hasn't been on any antibitotics or anything so are at a bit of a loss as to the causes. In his CBC he showed high WBC (11.6) and low hemoglobin (10.3) MCV (71) MCH (21.3) and high platelets (529). This, combined with the fact that his TIBC and UIBC were high (546 and 520) while iron was low (26 and saturation was 5) suggests there is an iron deficiency, right?

Could that be related to allergies or is that indicative of something else? We have been contacting holistic and integrated health providers to make sure we try every possible solution to his allergies but are at a loss. Any help would be much appreciated.

Also, his alkaline phosphate registered very high (326) and AST was 52.