Thank you all so much for your input. It has been really helpful. When I brought the minivan to the service station to have the tire replaced, I gave them the punctured tire. They ordered the correct size, but Cooper sent the wrong (smaller) size. The owner realized it and re-ordered from Cooper, but the kid who replaced it accidentally put the wrong sized tire on. The gas station owner admits this much.
I have saved all of my receipts, and I think I can get a letter from the Dodge dealer who did the repairs saying that he believes it was the tire that caused all of the damage. I have also found some helpful articles on the Internet re the importance of matching tires w/ AWD cars. It also just seems like too much of a coincidence that within 3 weeks of having the tire replaced, I would need 3 repairs (ABS system, rear differential/axle, and front differential). I am probably headed for small claims court, but am willing to do that. Again, thank you all for your very informative responses!