Join Date: Mar 2009
Location: NYC
Programs: AS MVPG, DL KM, Bee Six, Bonvoy Plat, Choice Plat, IHG Plat, Avis PC, Natl Exec, Greyhound Road Rwds
Posts: 20,115
I would call/chat JetBlue and see if they can rebook you on AA, or just get a refund. In theory you should be able to get the refund online or through the app, but more often than not something will break and you'll have to call or chat.
You might consider booking the AA flight on your own before everyone else does and it drives the price up.
Not sure which airline DA refers to, but I am guessing they are not a JB partner.
-J.