MTG Salvation

Hi there sorry if this has already been asked. So heres the run down. I have Jace's erasure, jace, the mind sculptor, Jace's archivist ,and two howling mines on feild. start my turn 7 cards in hand draw 3 cards because mines, oppent loses three cards milling from esurase. i use jace mind bender 0 ability to draw three and choose to put two back. here is the question as it is a two part ability can i draw then interupt with jace archavist who makes us discard the draw biggiest hand . thus making my oppent draw 13 instead of 11 cards . losing 13 from top deck after from esurase cause i drew 13 more and finish by putting the require two back on the deck. this caused her to deck out.