I just bought a 97 Cadillac Seville that had the same problem. It was the fuse on mine. There are two separate power supplies for both the front and rear lighters.
First step I would take is to check BODY FUSE. Usually a 20-25 amp fuse depending on the year. Cigarette lighters are on the same fuse
Where is the switch located for the back up lights on a 2000 cadillac daville
Bulbs, switch or wiring
How do you replace brake lights
some of the lighted buttons on the front dash are on longer lite when lights are on, how do i replace them on my 2000 Cadillac deville dhs.
Under. Hood
A cigarette lighter is a device to light cigarettes. They are typically electric or gas-powered. Disposable cigarette lighters burn butane gas. Some reusable lighters use butane, while others use lighter fluid which is poured into a cotton wadding. Car cigarette lighters and wall-mounted cigarette lighters are electric. Electric lighters heat a coil of wire, and the cigarette is placed against the heated wire as the smoker puffs. In cars, lighter sockets provide other functionality, and can be used to operate laptops, charge cell phones, play games, watch television, power lights, and more.
Check for a bad ground circuit at the rear tial lights.
I would say the year is about it..... miner changes to lights not much at all.
Check switches on doors for proper operation. they are usually adjustable.
tail light lamps are bad
It is on left front fender under the hood near your air cleaner assembly