2019-05-03 : If a spell or ability causes you to put cards into your hand without specifically using the word “draw,” it’s not a card drawn.

2019-05-03 : If an effect instructs you to draw multiple cards, Jace’s first ability triggers after you draw whichever is the second one for the turn (if any). You choose a target for the ability after you’ve drawn all of the cards.

2019-05-03 : Jace’s first ability can trigger only once each turn. It doesn’t matter whether Jace was on the battlefield when the first card was drawn.

2019-05-03 : Once Jace’s last ability has resolved, its effect applies even if Jace has left the battlefield.