New answers tagged mp4
You will have to re-encode or use a tool to change your h264 level, f.e. this one http://coolsoft.altervista.org/en/h264leveleditor but its windows only, there might also be a Mac tool that does the same. Your video is encoded with High Profile Level 4.1. iOS only support Level 3.1 and probably the same with QuickTime on Yosemite.
No clue about Lightworks, but two possible (and possibly related) issues are that 1366x768 is not exactly 16:9, and 1366 is not evenly divisible by 8. Either or both could cause any editing software to use a different internal representation, and require an adjustment to its display. 1368x768 would be byte-aligned, but still not 16:9.
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