This is one of the most unique concepts I've seen in game jams so far. It's a great idea and fits perfectly with the theme of the jam. The windows being draggable and being able to control the speed of time are great additions. I think I only encountered a small bug (or maybe I didn't fully understand it), after the halfway notification came and I used the Turn Around button, the Engine's slider broke and stopped responding to my drags (also speed and distance meters are stuck). I've added a picture of it. Other than that, it's a great idea and a great game, congratulations!
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The half-way message dialog blocks other inputs (as do the other 'ok' dialogs, by design) . But when you close it, inputs should respond normally. I don't see the dialog in your image, so sliders should work. If they don't then there is indeed a bug somewhere. I'll check it out. And thanks for the kind words!
I think I know what's going on. When the message is shown, time slows down to 1 day/second, to give the player time to read and react. So it seems that distance and speed are stuck, but they're just changing very slowly. And while the ship is turning around, you can't use the engines (because that would steer the ship off course). I should probably make that clearer.
Oh yes, it makes sense. While trying to take a screenshot of the bug, I also noticed that the ship was turning very slowly. There may be a 2-3 second animation that allows the ship to turn backwards beyond the player's control after the warning, but that could reduce the player's sense of freedom. Thanks a lot for your detailed explanations.