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May be a possibility of loose axle nuts on either rear axle(s) as well. Usually would also cause a noise in the rear like clicking or popping. You can pull the wheel to check and ensure they are tight. If loose, they are a one-time use, so should purchase new axle nuts and then torque to 118 lb ft.
Check the corner balance on the car,
Hence will bank that someone lowered the car, did not corner balance it again after it was lowered, and between the out of alignment and last of correct corner balance by it being lowered, it's going to be all over the road at speeds.
Note, if a Zr1 type spoiler was put on the rear of the car, without correcting the front down force needed as well with front splitter and side skirts , front end is going to feel very loose from the added front end lift that the rear spoiler causes at speed as well.