I would ask for a CBC w/ differential looking for high wbc and
high eosinophils. ANA (anti nuclear antibodies), for large amounts of circulating autoantibodies to show autoimmune disease, ANCA which is also for autoantibodies linked to Churg-Strauss(CSS), a esr and crp to look for internal inflammation. Really he needs an entire autoimmune blood workup, which includes organ tests for specific organ involvement, which includes liver, and metobolic profiles. Most definitly a chest and sinus CT.