Well, in general, over the course of a year, the Earth's movement away from the sun will occur in the plane of the equator, although specifically, this will only happen on the days of the equinox. As far as I understand, each of the engines will need to be activated once a day. The entire structure of one of the engines, together with the tower, should only withstand the load created by the engine and its own weight. Perhaps this is possible. And nothing particularly terrible will happen to people, as long as they start on time. And I don't think it says that the Earth should become a satellite of Jupiter. It should only move away from the Sun to the distance where Jupiter's orbit is located.
And it specifically says "satellite"... read more carefully...
Actually, here.
Life itself began with an "error"... how can one say that everything they predict will come true...