No brake lights no running rear lights ! - 1998 Nissan Frontier

lets do some...
1: battery reads, 12.6vdc reseted in park,? and 13.3 to 15v running?
yes/no.
2: enigne starts and runs perfect and drives ok?
3: head lights work> right?
check fuses yet.
if above is ok.
then the hood switch is broken, its just a switch telling alarm its closed. ..

rear brake lights.
are the rear brake lights dead, if you look at rear and person 2 steps on brake, key on?
maybe its telling you the truth.

not sure what time date means....

These Toyotas had daytime running lights. The headlights and the taillights turn on when you start the car. If you press the brake pedal, the rear lights (and the brake light in the rear window) should come on brighter.

I have never heard of the brake light staying on (The brighter filament in the two-filament bulb). Hope this helps.

check the bulbs then check power to the bulb contacts .as it can be a break in the wire were the trunk/boot opens up.

if your brake lights wont work your stop light switch it bad it's under the brake pedal.

the brake lights and the rear turn signals should be the same bulb check the bulbs to make sure they are not blown does your third brake light work if all brake light are out and the bulbs are good check the brake light switch on the brake pedal

i just recently replaced my brake lights and running lights

are you sure you wired everything correctly?
check again especially your grounds

Yes , The wiring in question does effect the brake lights because they all run on the same circuit.
I would repiar or repalce all the wiring and then replace the brake light switch. The switch could have shorted out from the fire.

Brake light switch, located on upper brake pedal should be checked, that is most likely your brake light issue, but U say tail lights aren't working, but running lights do, tail lights and running lights I would consider to be the same, so can u clarify that for me? Let me know how the u do w/ brake light switch, and if u have issue w/ tail lights?

Check the 10 amp "Tail" fuse. This controls the running lamps.
Note that the rear bulbs are "dual filament" bulbs, and even though the brake lamp feature works, the running light feature in the same bulb can be bad.

Is there a switch on the left side of the dash that has a red lens and a wavy line across it? If so, you have a rear fog light switch and it has been activated, causing your brake lights to come on each time you turn your headlights on. Flip the switch and the rear lights should display only the parking lights with the headlights on.