if all other lights are working, i would start with the reverse light switch.this is usually located on the side of the transmission
Could be your timing belt.
A brake light switch may be bad if a 1996 Toyota Corolla will not go into gear and the brake lights don't work. Another issue could be in the shift lock solenoid.
Probably the Tail light fuse is blown. You also lose dash lights when this fuse blows also.
I would replace the headlight switch as Ford has had their share of these problems.
There is a knob you twist beside your steering wheel close to your drivers side door twist it then the dash lights will brighten up this is what you have to do in my 1996 tercel so i would think it would be almost the same in a 95 tercel good luck lol
Check fuses? Could be a bad headlight switch/ Could be an open in dimmer rheostat?
CV Joints are the most common cause.
What is the firing order 1996 toyota rav4?
Where is the thermostat located on a 1996 Toyota Tercel?
bulbs or bulb sockets