No particular reason to believe the video was leaked by anyone on board. By this stage it's likely been shared quite legitimately with multiple organisations, civilian contractors etc; the leak could have originated from any of them
I'd assume the RN retains the practice whereby all take offs and landings on carriers are video taped.
Flying machines are called aircraft, not planes.Sort your use of the English language out
You need to get out more, one service has had "plane captains" for yonks, and they don't wear four stripes.
I know one element of the auto eject is based on pitch rate, example being loss of the fan in the hover, pitch rate is such that a pilot can not react in sufficient time to save him/herself.