FRONT HEAD LIGHTS ARE NOT WORKING AND CIGARETTE LIGHTER NOT WORKING

I'm assuming this is the lighter in the center console by the beverage holder? If not I'll need more details.
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First you have to make sure the power is cut to it, so either pull the fuse or disconnect the battery. Warning, disconnecting the battery WILL reset things like radio settings and clocks.
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Now get yourself a flat-head screwdriver. You want to carefully unsnap the front of the beverage holder console, and once the front is unsnapped you can lift it to unsnap the rear of the beverage holder console and remove it.
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Now grasp the top part of the cigarette lighter's panel and pull it straight out. Make sure you don't yank on the electrical connections. I'd suggest unplugging them so you can work on the lighter easier.
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From there you simply have to unscrew the retainer from the socket and remove the lighter.
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If you're installing a new one, just reverse the process.

If you'd like to take the time to look at all the fuses and see which one is blown, that's the 1 needing replaced. Normally a cigarette lighter fuse is a 10 amp ( Red ) fuse.

on 1987 all you mentioned are on same fuse #11 located in fuse box below steering wheel 3rd row 3rd fuse from left next to either a blank space if you do not have power windows,or next to silver circuit breaker if you do have power windows.

You had better recheck that fuse again with an Ohm meter..

It is right behind the cigarette lighter itself.

The fuse is located in the car under the driver front panel

check blown body and / or lighter fuses 20A

i had the same problem with my 2003...it was # 32 fuse under the hood labeled front auxillary

use a volt meter or 12 volt test light and see if voltage is present at the lighter, it is most likely a defective lighter.

check wiring behind each cig lighter or use test light inside the socket