Multiple references: the title is a reference to Quint's famous promise that he would hunt the shark down and deliver "the head, the tail, the whole damn thing" to the mayor. There is a reward for a shark, leading to fishermen setting out with rowboats and dynamite. At meeting with fishermen Spencer imitates Quint - attempting to scratch fingernails on white board, paraphrasing Quint's speech ("you all know me, know how I make a living"). Spencer talks about singing sea chanteys.
Lassiter says, "Police detectives do not surmise that banks are knocked over by groups of angry cats with laser beams," a reference to the "Laser Cats" recurring segment on "Saturday Night Live."