Hi, I booked 5 AAdvantage award tickets a few months ago with AA, JFK-LAX-KOA-LAX-JFK. The return flight originally had a 1:25 connection - tight with the family, but seemed quite doable. In any event, I couldn't find any other award tickets in that time period, so I consider it a success! A few days ago, they moved the overnight KOA-LAX leg by 20 minutes so that the connection time is now 1:05. I called AA to see if they could switch our flight for the LAX-JFK leg, but the rep says she doesn't have any award availability until much later that afternoon. And if there's anything worse than a 1 hour layover with 3 little kids, it's an 8-hour layover following a red-eye, so I turned her down. I hope to be almost home by then! A few questions: 1. Is it worth calling back to see if I get a more sympathetic agent? I've had some success in the past when flights were moved (even once when a layover was extended longer than I wanted), but haven't had to try this in a few years. There does seem to be lots of availability on the next few flights out, just not award availability. 2. Do I have to re-clear security in Terminal 4 at LAX or is it just a gate-to-gate transfer? The KOA-LAX flight seems to have an excellent on-time record, so if security is not an issue, I'm much more comfortable. 3. If we do miss our connection, does anyone know how AA prioritizes missed connections? Thanks in advance!