Final answer:
The most likely cause of the 9-year-old patient's symptoms, including unilateral weakness, target cells, and splenomegaly, is sickle cell disease.
Step-by-step explanation:
The most likely underlying cause of the signs and symptoms in the 9-year-old patient is sickle cell disease (SCD). The findings of a splenomegaly (enlarged spleen), a systolic murmur, and unilateral weakness alongside the presence of both target cells and a crescent-shaped cell on the peripheral blood smear are suggestive of this diagnosis. The penicillin VK prophylaxis and the cousin requiring frequent blood transfusions hint at a family history of hemoglobinopathies, which includes SCD. The stepmother's account of the child's low-grade fevers and recent cold-like symptoms, along with the absence of significant health problems, could be consistent with the effects of SCD on the immune system. The presence of a hemoglobin level of 10 g/dL, elevated WBC count, and target cells strengthens the suspicion for SCD as the underlying cause of the observed symptoms, including the painless unilateral weakness.