Check the shocks and the suspension components. You might have a bad bushing on the sway bar, shock or elsewhere. The 1997 Chevy Cavalier has struts instead of shocks in the rear-end, so you would need to replace those. Also while replacing the struts you might want to consider alingment for both the rear and front because if the car has been making this sound for a long period of time it will be out of aline. My cavalier had the same problem, but both struts were bad.
On the dashboard section, behind the glovebox compartment.
Should be at the lower section of the coolant recovery tank
Probably on the front lower section of engine behind radiator--follow + battery cable
You have a bad CV joint (half shaft) needs replacing. Just take note of which side the noise is at, so you repair the correct one.
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Yes
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Most likely.