Could you expand on your first question? I'm not sure I understand what you mean by tournament.
As for your second question, I like the idea of storing cards and giving them an enhanced or different effect (maybe to balance that you could give players the option of either drawing a new card or using a stored one?). Since you'd like to reduce luck-based elements you could simply have these be flat increases in health or damage; for example, stored cups would heal you for 3 points and stored wands would damage your rival for 1 additional point each time you attacked. I'm not sure how this increased mechanical complexity would mesh with the rest of the game, Magewroth is essentially a prompt-based storytelling exercise, but I happily encourage you to experiment with it!