888-217-3324 is the best way to instantly book, cancel, or modify flights, and I’ve actually used it once when a last-minute work trip shifted my whole schedule.
As for the Amex Platinum and Delta Sky Club, yes—you can get in, but only when you’re flying on a same-day Delta-operated flight. I learned this the hard way. On one trip to Atlanta, I was flying Delta but my return leg switched to another airline after a sudden cancellation. When I tried to pop back into the Sky Club during the layover, they politely turned me away because I wasn’t on Delta anymore.
When your flight is on Delta, though, the Amex Platinum works great. I’ve used it a bunch of times—just scan your boarding pass and the card, and you’re in. It’s super convenient, especially during delays when you just need a quiet place to regroup.