Those tail lights could be the brake lights you are seeing and that would be a faulty brake light switch or the brake light switch is out of adjustment.
Bad headlight switch
they wont change out
Brakelite switch is probably stuck
on ground or no power,check fuses.
Most likely the headlight switch on the column, all the light circuits run through the switch, the switch has contacts in it that seem to wear out over time.
You need to replace the bulb in your lights. The dim lights and bright lights have different bulbs.
The first check would be the fuse for the dash lights. If the dash lights are out too then it is likely to be the fuse.
Check your tail lights they are probably out also. Most domestic cars power the dash lights off of the tail light circuit so you will know when the tail light fuse blows. Check the tail light fuse.
The most common problem is a bad fuse.
Check the ground wire. You have a bad connection somewhere.
there is a short in the relay for the head lights
Check the park lamp fuse.