Game play rules are summarized and clearly detailed. You might want to adjust the layout to make it clear that step 1 (play or discard) is a choice of two different actions. I'm not sure you need a "this round" in the discard rule, either. Is the intent to discard, draw, and then continue the steps as normal?
-- You should define the conditions for passing out, and probably give this check its own step 4 before going on to the hand refill step.