It looks like you asked for "J" on twitter instead of "business class", and they interpreted that as a request for a full "J" fare instead of a discounted business class fare (which does not book into J booking class). Not everyone understands "J" as a generic reference to business class. AA will ticket these flights as AA 50, AA 6613, BA 675, AA 6950 marketed flights as INNZ97S5 fares (one in each direction) for the $3874 price which books into "I" booking class. The INNZ97S5 fare has a 7-day advance purchase and Saturday night stay requirement. So the last day you could book these flights and get that fare in both directions would be November 18th (assuming "I" bucket inventory remains open).