When I shake my back tire it moves, what part do I need?

try rotating your tires from front to back, so as to eliminate the possibility of a broken belt in a tire. See if your shaking moves. Hope this helps.

If you put new rotors you need new brakes as well the other thing to check is the inner and outer tie rods to do that get the front tires off the ground grab the front and back of the tire on the tread have someone look at the inner and outer tie rods as you move the tire back and forth if the tie rod does not move it is wore out you can also look at the sway bar pins and make sure that they are not broken

A bad rotor would only cause a shake when you are using the brakes. A bad tire could shake at 55mph and above.
I would get a second opinion to make sure.
The shop could rotate the tires and see if the vibration moves to a different area of the car.

Try rotating both front wheels to the back one at a time. If a tire has a bad belt; it may balanced but balancing does not eliminate a soft spot on the tire tread. By moving the tires to the back and road testing it after each side is done, you may be able to find the bad tire.

You have a lot of moving parts. A brake rotor could be out of balance, you can have a worn CV joint shaft, a hub bearing could be worn, driveshafts and U-joints can shake.

If you do find one wheel as a problem, have the tire dismounted and the wheel spun on the machine. You may have a bent rim and the tire may be good. Since the balance would help compensate for the vibration, it can mask the flattened spot on the rim. The tire will act like a shock absorber but ultimately the rim is not turning like it is round once weight is on it.

I would be interested in what you found.

like driving parking lot speed, the steering wheel or the back shakes??? = bad tire.

shakes?or shacks?Let's just say that you mean shake.If your brake pedal pulsates,replace the rotors.If your steering wheel shakes(low speed)broken belt in front tire.Jack up one tire enough to clear the ground,spin it.Spins nice,lower and jack up the other.Spin that one,if the belt is broke it'll be very noticable.While up in the air check the lug nuts,if they're loose it can make the steering shake too.If the shake is at highway speed,bad shocks or tie rods or ball joints or a combination of these.Jack up a front tire and try to move it(Key turned off to lock steering).If it moves top to bottom,ball joint.Side to side,tie rod.Doesn't move,shocks.The worst could be a bad hub bearing,but you'd hear it and you said nothing about any noise.

There are many things that can cause front end vibrations, I will give you a list and hopefully the information provided will allow you to narrow it down. Usaully front end shake is caused by a tire that either has a shifted belt in the tire or the tire weights could have falled off and the tire and wheel must be rebalanced, another reason for shake is if the shake occurs when applying the brakes it is a warped rotor and the brakes must be replace in the front end along with new rotor installed, the last thing that it could be is a loose or worn out front end part perhaps a tierod end. If i was you I would try rotating the tires from the front to the back and see if the shaking goes away if it does it is most likely a bad tire (shifted belt) or the tire needs to be rebalanced at a auto garage. after checking that first then jack up the front and grab the wheel and move it back and forth up the down to check for play or loosness, as I said if the shaking occurs while applying the brakes replace the brakes and rotors.

Put on the spare tire and see if that helps. If it does, go to the tire store and use your hazard coverage for them to check your rim for being bent or your tire from having a bruised belt. The rim is your responsibility, the tire is the tire stores. An 04 should have spare rims in Salvage yards. You can go online for those if need be.

try the simple solution first put your front tires on back and back tires on front. check your air pressure then take it for a drive and see if any thing has changed. if so you probably have a badly worn tire. if no change have someone move the steering wheel back and forth wyle you are under the fornt of the car (dont forget to chalk the wheels) and see if any of your steering components are loose/moving. if nothing is loose and your tires are good try to bounce the front end. if you can really get the front of the car going up and down pretty easy you havce bad struts/shocks.

You need to have your alignment, cambering diagnosed for you to know the real position of your four tires. yes you really need to check the tie rods.
Heating up the metal would most likely damage your paint and anti corrosion properties of your metal, try re-aligning the doors hinges by loosening the screws enough for the door to move, dont dismantle it.