Well, that's an aggravating situation..........
How many miles on your car ..??
I don't reckon an overtightened lug nut would cause a noise. I figure you could twist that puppy off and as long as the rest of the lug nuts on that wheel were tight, it still wouldn't make a noise.
A tire rotation is a tire rotation, just take em off and put em back on. A visual brake inspection is usually just a look see deal.
What actually happened is anybody's guess.
I'll guess they bent the tie rod jacking the car up ......
Well, that loaner ain't all that bad ...... at least it keeps the miles off your car.
Please keep us posted.
humfrz