"Face up" needs a hyphen in some instances (when it's modifying a noun, like card or deck), but doesn't in others. For example, under C2: "Place the top card of the supply face down next ..." (But under C1, the hyphen is correct.)
Hand Refill Rule: The last few words seem to be a typo. Perhaps "active player" or "player whose turn it currently is."
Under Player Elimination, "their" should be "your."