Systemic Lupus Erythematosus (SLE): This diagnosis is highly likely due to the presence of generalized lymphadenopathy, neutropenia, and positive ANA. SLE is a chronic autoimmune disease that can affect various parts of the body, including the lymph nodes, blood cells, and joints. The positive ANA is a hallmark of SLE, and neutropenia is a common hematologic manifestation. Although ASCA (anti-Saccharomyces cerevisiae antibody) is more commonly associated with Crohn's disease, it can also be positive in other autoimmune conditions, including SLE.

Rheumatoid Arthritis (RA): While RA primarily affects the joints, it can also cause generalized lymphadenopathy and neutropenia. The presence of positive ANA and ASCA could be seen in RA, especially in patients with more systemic involvement.
Crohn's Disease: Although primarily a gastrointestinal disease, Crohn's disease can cause extraintestinal manifestations, including generalized lymphadenopathy. The positive ASCA supports this diagnosis, but the presence of ANA and significant neutropenia is less common in Crohn's disease.
Sjögren's Syndrome: This autoimmune disorder can cause lymphadenopathy and neutropenia. While it primarily affects the exocrine glands, systemic manifestations can occur, and the presence of ANA supports this diagnosis.

Lymphoma: Both Hodgkin's and non-Hodgkin's lymphoma can present with generalized lymphadenopathy and neutropenia due to bone marrow involvement. Although less likely given the positive autoantibodies, missing a diagnosis of lymphoma could be catastrophic.
HIV Infection: HIV can cause generalized lymphadenopathy and neutropenia. The presence of autoantibodies can sometimes be seen in HIV due to the immune dysregulation caused by the virus.
Tuberculosis: TB can cause lymphadenopathy and, in rare cases, neutropenia. It's essential to consider TB, especially in endemic areas or in patients with risk factors.

Autoimmune Lymphoproliferative Syndrome (ALPS): A rare genetic disorder characterized by lymphadenopathy, splenomegaly, and autoimmune cytopenias, including neutropenia. The presence of positive autoantibodies could support this diagnosis.
Felty's Syndrome: A rare complication of long-standing RA, characterized by rheumatoid arthritis, splenomegaly, and neutropenia. The presence of ANA and ASCA could be seen in this context, although it's much less common.
Kikuchi-Fujimoto Disease: A rare, self-limiting condition that causes lymphadenopathy, fever, and sometimes neutropenia. It's more common in young women and can have a positive ANA, making it a rare but possible diagnosis in this scenario.