Friday out of LAX looks ok at this point. ZED will only permit you into Y class I do believe. I would think you will get a seat, perhaps no row to yourself. Fortunately only 5 NRSA's listed for all cabins. Have you looked at doing Delta out of LAX? If I were to brave that long of a flight in Y class, DL's 777LR beats the pants out of UA's 744.