Parasitic infection: This condition often leads to an increase in eosinophils (EOS%) due to the body's immune response to the parasite. The low neutrophil percentage and low WBC count can also be seen in chronic parasitic infections, where the bone marrow may be suppressed or the immune system is otherwise occupied.

Allergic reactions: Allergic reactions can cause an increase in eosinophils. While they might not typically cause a low WBC count, in severe or chronic cases, the overall immune response could lead to variations in white blood cell counts, including a decrease in neutrophils.
Hypereosinophilic syndrome: This is a condition characterized by an overproduction of eosinophils, which can lead to organ damage. The low neutrophil percentage and low WBC could be secondary effects of the syndrome or related to the underlying cause.
Viral infections: Certain viral infections can affect the bone marrow, leading to changes in the blood cell counts, including a decrease in WBC and alterations in the differential count, such as an increase in eosinophils.

Leukemia: Although less likely, certain types of leukemia (like chronic eosinophilic leukemia) can present with elevated eosinophils. The low WBC and neutrophil percentage could be indicative of bone marrow involvement or suppression. Missing this diagnosis could be fatal.
Aplastic anemia: This condition involves bone marrow failure, which could result in a low WBC count. While eosinophils might not be directly affected, the overall impact on the bone marrow could lead to unexpected changes in the differential count.
Severe sepsis: In the early stages of sepsis, there can be a decrease in WBC count due to consumption of white blood cells. Although eosinophils are not typically elevated in sepsis, certain infections could potentially cause this. Missing sepsis could be deadly.

Lymphoma: Certain types of lymphoma can affect the bone marrow and lead to changes in blood cell counts. While not typically associated with elevated eosinophils, some rare cases could present with this finding.
Churg-Strauss syndrome: This is a rare autoimmune condition that can cause an increase in eosinophils and affect various organs. It could potentially lead to changes in WBC and neutrophil counts due to its systemic nature.
Idiopathic hypereosinophilic syndrome: A rare condition characterized by an excessive number of eosinophils in the blood and tissues, which can lead to organ damage. The low WBC and neutrophil percentage could be part of the syndrome's presentation.