No, nut allergies and mushroom allergies are un-related. Nut allergies are closely related to tree nuts, however. Mushrooms are in the fungi family, so experiencing an allergy to mushrooms would be...
Most dried apricots are treated with sulfur as part of the drying process, so this may be the connection.
No
The nut allergies are related to soy allergies because nut and soy have similar proteins, the body reacts against these proteins.
The seeds of a mushroom