For what you are flying, AA should be perfectly fine. None of those routes are in jeopardy and AA is simply trimming international routes to non-OW hubs and domestic routes that are to very small cities. The EGE flight should stay as well because it is a seasonal route to an expensive ski town. Ticket prices on this route are astronomically high.

This is a separate question. The short answer is kind of. For the business traveller who flies primarily to major business centers, then the answer is yes it will. However, for those of us who fly all over or go to medium to smaller cities, then the answer is no. I am surprised to see MAN go because of the strong BA frequent flyer base in Manchester. I would not be surprised to see MXP and seasonal FCO go, but that would be all the remaining Europe I could see being cut. I think the South American cities will stay because of LATAM's presence. I think some of the Caribbean cities go, as they already cut San Juan and that has the highest O&D. I am curious what they will do with the Eagle flights from JFK. They are used for feed, but if they cut the international flights without feed on the other end, how much feed do they really need?

As for LGA, I could definitely see some cuts. CHO, ROA, ILM, and BGR come to mind.