I suspect I cannot tell anything that would be new to you. But the "I" following 'And' and before the comma is the one to focus upon. Being lifted up puts the "I" in a passive position under the verb form action; 'will draw' refers back to the initial "I" in the passive position. In English if we write 'And I will draw all men unto myself', the :I: is active, doing the drawing. In the Greek the clause separating 'And I' and 'will draw' indicates that in being acted upon the "I" has dragged 'all' into the verb position of initial passive action.
My Greek is not honed to perfection and I'm an old codger, so I hope that has some meaning for you.
I answered this once, but it somehow got lost in cyberspace! :(
I'm a pretty old codger myself, but we had great grammar teachers in my day! Verbs have voice, tense, mood, sometimes number; nouns have case, number and/or gender -- no voice.
Did you ever learn sentence diagramming in grammar school? I had it in seventh grade and for a while couldn't read a book (even Anne of Green Gables, a favorite!) without mentally diagramming the sentences as I read!
My lost answer was better . . .:(