Sorry to heard about the tire, to answer your questions
-I doubt anyone has a serial number for the tires.
-No necessary, if it blows with out losing pressure before, then the pressure sensor wont warning you.
-I had to replace one of my tires at around 5000 miles. Mine didn't blow, but got flat and while fixing it, discount tire discover it was defective. Dealer didn't exchange it because I didn't purchase a tire warranty. Same 19" continental.
2015 Q3 2.0TFSI QUATTRO PRESTIGE, SPORT PACKAGE, 19" OFFROAD WHEELS, MONSOON GREY METALLIC/BLACK INTERIOR.
2012 VOLKSWAGEN TIGUAN 2.0TSI SE, PREMIUM AUDIO, CANDY WHITE/BEIGE INTERIOR.
2008 VOLKSWAGEN JETTA 2.5 SE, PREMIUM AUDIO, MOONROOF, STANDARD TRANSMISSION, GRAPHITE BLUE/BLACK INTERIOR.