Passengers (I) (2016)
Incorrectly regarded as goofs
However as we already seen, everything on the ship reacts to them, the bartender, computer, information points, the waiters in the restaurants and so on. It is therefore plausible that the slingshot information is being played because of their presence.
But if its course was to slingshot around Homestead II's star without planetary orbit, it might need to continue thrusting in the direction shown.
But they might sensibly have smaller ships, able to bring physical samples back to Earth. And since it is commercial, it would sensibly include anyone who could pay for a round trip. And for settlers who wanted to see Earth.
120 years is a good time, assuming that the acceleration is not instant.