Your battery is probably almost dead either due to an old battery not retaining a charge or your alternator is dead. both are easy to replace assuming you have basic mechanics skills. Test by using a volt meter to see if you are getting at least 12 volts coming off of the alternator. Touch the end of the bolt that is attached to the wire and then touch something grounded. If the volt meter reads at least 12 volts, then you need to replace the battery. Even if it is the alternator, in my experience, once your alternator goes, the battery is close to follow. They just don't like to be drained to nothing repeatedly. The alternator should cost you around $200. Be sure to save the old one and return it to the auto parts place for a core refund, probably about $50.
Check the fuse for the headlights. It is probably open.
ummm... your brake lights should ALWAYS work whether your headlights are on or not, that's how people behind you know you are stopping.
if you recenly replaced bulbs u may have installed them backwards they should be running lights and brake lights if this is the case they maybe installed incorrectly
Check the bulbs they are double filamented with smaller being for brake lights
The brake lights and the tail lights are separate circuits. Check the brake light fuse, then check the brake light bulbs, then check the brake light switch.
Fuse, wiring, bulbs
Most likely a fuse.
Often this type of behavior is caused by a bad ground for the lighting circuit. Check the ground circuit for the brake lights.
It sounds like a blown fuse or a bad head light switch
i found it to be the tail light harnesses go bad . a common problem with them because the bulb sockets short out.
If you are referring to the brake lights it is probably a bad brake light switch. Your vehicle may also have daytime running lights which would be on without the parking lights.
Low beams are burned out.