Discard a card, then draw a card. When you discard a nonland card this way, Fiery Encore deals damage equal to that card's mana value to target creature or planeswalker. Storm
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Each copy will resolve one at a time. As each copy resolves, if you discarded a nonland card, the reflexive triggered ability triggers and you pick a target to be dealt damage. That ability will resolve before you deal with the next copy of Fiery Encore.
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Each copy you create because of storm will cause your magecraft abilities to trigger.
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If you have no cards in hand as Fiery Encore resolves, you won't be able to discard a card, but you will draw a card. No damage will be dealt.