09 Chrysler 300 stereo/navigation powers on for a few seconds, the heated seats only stay on for a few seconds, and the cigarette lighter doesn’t work.

SOURCE: drivers side heated seat does not work

sounds like the wiring either in the seat or from the switch is faulty altho sometimes the element that warms the seats up breaks down/wares out

SOURCE: 1995 camry wagon cigarette lighter not working

start with a test light and check for power at the center of the cigarette lighter socket. If power is good, then check for ground at side of lighter socket.
If no power, run wire from power wire of lighter to power wire of stereo, thus tapping the power directly and bothering to trace out where the open int he circuit may be.

SOURCE: no power to cigarette lighter, and no fuses

Did you check the fuses under the hood? The cigarette lighter fuse is not located in the fuse box by the passenger door.

SOURCE: cigarette lighter not working, already changed fuse

Look in your manual for the Power Distribution Box reference in Roadside Emergencies. It should be located under the hood on the driver's side. My 2002 Explorer has two power points on the center console and the 20A fuses in the Power Distribution Box for them are number 7 and number 9. They cost $3.99 each at AutoZone. The cigar lighter fuse under the dash is unrelated.

SOURCE: inline fuse location for cigarette lighter

It is right behind the cigarette lighter itself.