Question

what is the difference between macrophages and neutrophiles

Answer 1

Neutrophils eat, but don't present, antigens. One of the big differences, too, you already mentioned: neutrophils are the first to come in during an inflammatory process. Lymphocytes come next, then monocytes/macrophages come in to mop up the mess. One note: neutrophils are phagocytes, but not antigen presenting cells.