The rear diff is stationary on these cars so not much moves around more than 3/8". Also, the center bearing is mounted in rubber to take up any vibration and the drive shaft telescopes.

"Dropping " the car won't damage the center bearing unless they folded the car in half, Ford guy knows nothing about cars / bearings/ physics / engineering.

I'd have a look at the new lug bolts in case they are too long rubbing the parking brake shoes / hardware. Tire balance could be an issue, if the car was picked up on a single post lift it might have bent the drive shaft but that would be difficult to do. ( the old gas station style where a large hydraulic cylinder comes up from the floor and the lift plate has 4 arms. )

Have a look at the rubber drive discs, they don't age well and can come apart. Some have has the air bags pop when the drive shaft becomes dislodged.