The types of hypersensitivities can get a little confusing, especially 2, 3, and 5.
Type 1: Plain old allergy (asthma, anaphylaxis, atopy)
Type 2: Antibody-dependent, cytotoxic (think of autoimmune hemolytic anemia)
Type 3: Immune complex disease (like a lot of the autoimmune conditions: rheumatoid, lupus)
Type 4: Delayed/Cell-Mediated (mediated by T cells, T cells are slower to react than antibodies, so this reaction takes a couple days)
Type 5: Receptor-mediated autoimmune disease (Graves, myasthenia gravis)