Art: Beautiful map and cover illustration. Too bad the treatment of the text pages is basically just a Word doc, but I get the sense you were probably under time pressure.
Writing: I think I mostly understand how to play, but it's not the most organized set of rules I've ever read. Some sections read more like personal notes for testing a prototype than finished game rules, which I again imagine to be due to a deadline crunch.
Game Design: I'm kind of torn here. You're basically creating a board game within Mothership and I'm usually of the philosophy that we should let board games be board games and RPGs be RPGs, because each medium has distinct advantages, and trying to use one as the other is a bit like hammering nails with a screwdriver. On the other hand, you get a lot of marks for creativity. I'd say maybe just forego the character sheets and Mothership mechanics entirely (except for the mechanics established for this game) and just call it a Mothership-themed board game.
Theme: Full marks. Great idea to use John Henry as the myth and good ideas for adapting it to sci-fi. I guess I could complain that there's nothing that feels very horrifying here, but you know what, it's fine.
Layout: Adequate to the task. I imagine that it'll be improved after the jam along with throwing some graphical style on the text-heavy pages.
Utility: As someone who has had a few board games published, I know you can't possibly have playtested this thoroughly enough in the time available, as that's just not possible for an even moderately-complex game. Plus the rules are cursory enough in places I know I'd find ambiguities when trying to run it. So I'd want to do a full run-through on my own before bringing it to the table with players. I suspect some might decide they can just dive in and then have awkward pauses mid-session as they're scouring the rules trying to figure out how something works.
Favorability: If you explained your plan to me at the start of the jam I would have said the board game-like mechanics were a bad idea and to do something more narrative-driven with the same theme. But you know what, I like it. I worry that it might be a bit of a mess trying to play it, but I'm happy to have read it and that you did this, so full marks.