Left blinker and "reverse" light stay on continuously. Replaced turn bulb, problem remained

If you have a bad light bulb it will make the blinker light flash. Check all turn signal light bulbs.

So your taillights should have 2 bulbs in them. 1 that turns on when you turn your lights on and stays on until you turn them off. That same bulb should have a 2nd circuit that lights up when you press on your brakes. The 2nd bulb appears when your reverse gear is engaged. So if you have no lights on right you have to replace both bulbs and if you have no brake light on the left you just have to replace your rear brake light bulb.

Are the fog light and parking light fuses getting power from the headlight switch ?

bulb is out and also change the blinker relay

there must be a bad bulb somewhere

have you changed the front light bulb as well?

Even if you can hear a clicking sound when you hit your left light blinker, your flasher unit can still be the problem. re- check your fuses and check for corrosion around the metal prong where your bulb screws on.

I would start by checking the blinker light bulb on the left side front and or rear,some vehicles will blink real fast and some wont blink at all when a bulb goes bad.

Usually a fast turn signal means that there is a light out. You should probably check all of your lights, including back-up lights, and turn signals. If there is one out then replacing the burnt out bulb should fix the problem.

I have had this happen and it is rare, but I have had a filiment burn out in a two filment buld and short to the other filiment. It does happen and I think this might be your problem, the only way to find it is a visual inspection of each bulb. I am sure many people will think this is crazy, but I have had the exact same problem, I had the schematics, tested the circuits,etc. and them by accident found a stop/blinker 1157 bulb that had done this exact thing. I hope this helps you, check the bulbs in your headlights also.