Details window
Another idea that I need to take a look at. As the game is designed right now there is no saved history about the players, i.e. no state, except for the amount of money. "Details" is actually just for the last round, not for the complete game - but I see your point that the information could be better. About point a: I think that information is there, or ?
Pattern panel on the screen during gameplay
I like that idea, but I have to think through how to do it without taking to much "real estate" of the display - or to make a clutter out of it. Maybe get a hint when you hover your cards?
Face-down cards
It is not a bug, it is a feature ;) Since I had a problem "promoting" this function, I thought it as a way of giving a "visual clue" for the possibility to zoom in on the cards.
Restore state
No, not really. What I have done is to replace calls to Math.random (or functions calling Math.random) with some static value to make things deterministic/repeatable.