Check your shocks really good, it maybe the rear strut mounts are bad, or somthing in between that is damaged, rotted, or just worn out.
need help with Corolla 2005.
05 Corolla making metal noise, hitting bump, or wavy spot on the roads.
Sound caming from the bottom, it's like metal pipe hiting something.
When I push down few times rear end of the car, I heard metal klicking
caming from bottom in the middle of the car.
Exhaust looks ok