Lots to like about your submission.
Good amount of variety in puzzles, especially for the 7-day time limit. I found it easy to understand how to complete each puzzle. Fits the theme nicely too.
I liked the inclusion of the sprint. Made moving around the ship much more enjoyable. Having to recharge it adds a nice bit of depth too.
For improvements, an overlay map you can look at to see where tasks are would be helpful.
Great job!