The hazard flasher and cigarette lighter are on separate circuits. Try a replacement flasher unit, or swap the turn-signal and hazard flashers as a test. For the lighter, inspect the socket, confirm the fuse, and check continuity from the fuse box to the socket connector. If power reaches the socket, replace the socket.
A 2003 Mazda Protege owner reported that the emergency flashers and cigarette lighter stopped working at the same time after all under-hood and passenger-compartment fuses were checked and replaced. The expert noted the circuits are separate and suggested trying a cheap flasher or swapping the turn and hazard flashers. For the lighter, inspect the socket, test continuity from the fuse box to the socket, and replace the socket if power is present.
