x2 that isn't a massive tyre or rim by any stretch, shouldn't have issues based on that choice.
I'd be checking the basics, bounce the rear of the car, see if exhaust or similar is loose or hits. Could be worn out suspension with too much travel, up and down and sideways from long shackles and worn bushes, soft shocks, exhaust that's moved. The tyres and rims shouldn't be an issue on themselves, not like an unknown rim used and found to be wrong offset and rubbing on inner fender lip or shock mount plates. As mentioned, look for rub marks, anywhere extra close to contact that changes when car bounces around, rim off and inspect for marks or where rubbing.
Likewise, had 275/60 R15 and 285/40 R17 and nowhere near anything, with standard and then lowered suspension.