If a spell or ability causes you to put a card into your hand without specifically using the word "draw," it's not a card drawn.

If you're instructed to draw more than one card and you have fewer cards in your library, you draw each card in your library, then you begin replacing draws with counters for the remaining draws.

If two or more replacement effects would apply to a card-drawing event, the player drawing the card chooses the order in which to apply them.