I went to drive in my 2004 chevy cavalier when I put the car in reverse it shakes like it wants to bog out,only it makes a smell from tail pipe

SOURCE: 2005 Cobalt Check engine light blinking.

You need to Replace the Catalytic Converter. That is what you are Smelling. It has Clogged up and will also Cause the Light on the Dash Problem. Please Rate My Response! Thanks!

SOURCE: transmission slipping when going from reverse to drive

First thing to check is the fluid level

SOURCE: 2004 chevy cavalier makes a ''knocking'' sound

This could be any number of things. It could be your CV axle going bad, your tie rod joint has gone bad, your lower ball joint has gone bad. More than likely it will be your CV axle. What you need to look for is rips on any of the boots for these parts. The one that has the rip will more than likely be your problem. Just check for grease coming out of any of these parts and you will find your culprit because it has dried up and is causing the knocking sound. Let me know if you have any further questions. Thanks for using FixYa!

SOURCE: Burning smell,check engine light-misfire, rough idle 96 cavalier

Sounds like there is a blown piston, to be sure have a compression test done on that #2 cylinder, if the reading is low, then you'll know.
A friend of mine had a 95 that did simular things only a little more,
it started smoking, dash lights flickered, etc. Finally, he had to get rid of it, the piston rod went through the engine block.

SOURCE: windshield wiper driver's side went limp wind

THe wind doesn't just push the power arm off, it must be broken and will need be replaced, You need to check if the actuall bracket that holds the arm is broken as well. It has teeth on it which when the arm is put on it lock in place with a clip