Andrew,
Thanks for addressing the out-of-round issue. There are indeed bulges. I have attached a couple of images. As far as I can tell, these are only on the driver's rear tire. Based on what I discussed with the PO, I don't think a curb was hit at a high speed, and certainly not in reverse. My sense is that either the tire was allowed to go flat and stay that way for a long time (the car was not driven for extended periods of time), or that the tire is just defective. Either way, I'm going to replace it, and perhaps all of them if they are old...which I believe they are.
Thanks for your help.