I have had issue with new parts quality before. Its a drag to have to redo work because of quality issues. Check to make sure the new drums dont have a longer/thicker drum face that is scraping the back plate.
I wouldnt doubt someone in shipping dropped one of those drums and bent it. Having them turned even when new should catch a bent drum.
Allot of corollas squeak when redoing rear brakes. Check this thread out. Brake noise, squeak
Btw how many miles you have on the corolla now? I changed out my shocks, front bearings at 90,000 miles because of excessive tire wear.