I was leaning toward the caliper also, but on the way home, 20 min. Right after the almost accident, I did not have any issues with the breakes. But to think of it, I do use the brakes a lot less on the way home than on the way in, so maybe I did not notice it.
I was trying to put together how a wheel that made the car pull on the front, could cause the rear to heat up like that when placed on the rear.
So it sounds most like a caliper issue, and nothing to do with the wheel? Just lined up that I changed all of this arround at the same time.
And the front tire was swapped the evening before the hard breaking, and the rear the evening after it happened.

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83 300SD Dark Silver Dark brown inside