Acute Bacterial Infection: The elevated white blood cell (WBC) count with a predominance of neutrophils (neutrophilia) is a common response to acute bacterial infections. The increased platelet count (thrombocytosis) can also occur as a reactive process in response to infection.

Chronic Inflammation: Conditions such as chronic obstructive pulmonary disease (COPD), rheumatoid arthritis, or other autoimmune diseases can cause a sustained increase in WBC and neutrophil counts, along with thrombocytosis due to chronic inflammation.
Reactive Thrombocytosis: This condition can be seen in response to various stimuli, including infection, inflammation, trauma, or iron deficiency, leading to an elevated platelet count. The accompanying neutrophilia could be part of the body's response to the underlying cause.
Acute Stress Reaction: Severe stress, whether physical (e.g., trauma, surgery) or psychological, can lead to an increase in WBC, particularly neutrophils, and platelets due to the release of stress hormones like cortisol and adrenaline.

Severe Sepsis or Septic Shock: Although the presentation might not fully align with sepsis (given the lack of specific symptoms provided), it's crucial to consider this diagnosis due to its high mortality rate. Sepsis can cause significant elevations in WBC and neutrophil counts.
Hematologic Malignancy: Certain blood cancers, such as chronic myeloid leukemia (CML) or other myeloproliferative neoplasms, can present with elevated WBC, neutrophil, and platelet counts. Early detection is critical for effective management.
Acute Hemorrhage: Significant blood loss can lead to a reactive increase in WBC and platelet production as part of the body's response to injury and to replenish lost blood components.

Myeloproliferative Neoplasms (MPN): Conditions like essential thrombocythemia or polycythemia vera can cause elevated platelet counts and sometimes increased WBC counts. These are less common than other diagnoses but should be considered in the appropriate clinical context.
Paroxysmal Nocturnal Hemoglobinuria (PNH): A rare, acquired, life-threatening disease of the blood characterized by the destruction of red blood cells, bone marrow failure, and the potential for blood clot formation. It might present with varying degrees of cytopenias or, less commonly, cytoses, including thrombocytosis.
Other Rare Inflammatory or Autoimmune Conditions: Certain uncommon inflammatory or autoimmune diseases could potentially cause these laboratory findings, though they would be less likely and require specific clinical clues for diagnosis.