$21,000 on unused hotel rooms in Argentina, replacement clothes, and other costs.
What was he doing...Staying in the VIP suites those nights...had to get a new Armani tux, or replace their entire wardrobe

How is it possible to spend 21 grand just on a couple nights of hotel rooms and a few cloths to get by

Sure he missed his flight...but sounds like a lawyer trying to beat the system and make few bucks. We all know how good most lawyers are at fabricating the truth
Delta has a daily flight from Atlanta to Buenos Aires...doubt they are all so full. There was probably many openings on the next days flight (tomorrows flight looks like its only 1/2 full

), he probably just wouldn't accept anything under first class...that I could see a 2 week wait for

Something in his story sounds quite fishy :-/