Headlight problem

Last fall, when driving, my headlights would intermittently fail, and come back on after a few seconds. Soon after, whenever I pulled the lever to turn them on, there would be a small tendril of smoke coming out of the dash above the switch, and a very strong odor of burning plastic.

Now the headlights do not work at all, and still the smoke when it's been on for a little while.

The parking lights and everything else seem to work just fine, and a sight inspection under the hood reveals no broken or worn wires showing.

Could it be something as simple as the headlight switch?