Right side directionals blink fast and left side blink normal, all lights are working except glove box, car is a 1997 toyota czmry

The side that is dim has resistance in the electrical circuit , use voltage drop testing to find the problem . Watch this video on voltage drop testing .

https://www.youtube.com/watch?v=YaYtCVBodpw&t=1s

Check front signal bulbs.

Has the car been in a fender bender ? check for wiring going to the front and rear lights to see if on has rubbed into a ground wire or the body. ( even if there has been no accident.)

turn on park lights and signal on right side and take a good look at the front and rear light , see if one is dimmer than the other this may be due to a bad ground and when the park lights are on and drawing more power it also needs better ground, check the sockets front and rear try wiggling the bulb to see which one is causing the problem

One of your left lights is burned out, check your brake lights as well.

The answer is in your owner's manual. Just go to the parts dept of your dealer or to an auto parts store and get the filter. Next, empty out the gloove box. DIsconnect the damper (it is on the right side of the glove box that prevents the glove box from falling open too fast) Grip the top front of the glove box with your left hand and the top rear with your right hand and then push your left hand toward you and your right hand toward the front of the car, like you are trying to make the top of the glove box wider. While you are doing this, pull the glove box toward you so that the glove box is hanging down, (if it was full, it would have spilled the contents on the floor mat). Then the cabin air filter is toward the front of the car, just squeeze the two tabs on the left and right side and pull straight out towards you. You have removed the cover for the cabin air filter. Now, slide the filter out and put the new one in. Reassemble in the opposite that you disassembled.

Again, see your owner's manual, it tells you how to do it and saves tons of $$. This only takes 5 minutes or less.

check all fuse for the taillights again, make sure all bulbs are good. it blink fast because a bulb is out.

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.

If a dual element bulb develops a condition where both filaments touch together even momentarily will produce a fast flash too. Replace the offending bulb.