The information here is so intricate. I was definitely taking a lot of notes. The premise is super interesting and well-designed, but I do think it's not really winnable as-is and could use a lot of balance work. The issue is that when you spot a contradiction, there are a whopping twelve different possible explanations, two of which are usually correct at once, so it could take a good dozen cards to sort out even one discrepancy--and that's assuming you got the cards you needed.
I think this game is trying to incorporate too many elements at once. If I were you, I'd remove or simplify a lot of the roles, or simplify something else, like telling us the order of the cars.