Yes. Present tense is correct.
I recommend that you read through the play (it's pretty short) once more, and write down every important quote you find. I've compiled a double sided quote sheet of important quotes to memorize. I recommend you do the same.
Just off the top of my head, here are some quotes that should be second nature to you - and you should know who said these and in what context:
"every man has his price"
"when statesmen forsake their own private conscience for the sake of public duties, they lead their country by a short route to chaos"
"adamantine sense of self"
"a man of marvellous mirth and pastimes"
"better a live rat than a dead lion"
"seagoing principles"
"thickets of the law"
"i've lost my innocence" - Rich
"his silence is bellowing up and down Europe"
"he's the only judge since Cato that didn't accept bribes"
"No man in England is safer than I"
"I do none harm, I say none harm, I think none harm"
"I'm the King's ear" - "I prepare myself for higher things" - - "when the king want's something done, I do it" - administrative convenience - Cromwell
"When a man takes an oath, he's holding his own self in his own hands"
"Only God's love is right through"
"Why Rich, it profit's a man nothing to sell his soul for the whole world, let alone wales"
"I was commanded into office, it was inflicted upon me"
"I'll brook no opposition" - King Henry
"If we bump into each other, recognize me"
water - "the superhuman context"
"moral squint" - "you'd like that, to rule the country by prayers" "if Wolsey fell the splash would swamp a few small boats like ours"
"in silence is my safety"
"Why don't you beat that girl" - "she's full of education"
"want you come with us, for fellowship"
"those like Norfolk follow me because I wear the crown, others like Crowmell follow me because they are jackals and I am their lion, there's a mass that follows everything that moves, and then there's you"
"No man can serve two masters, steward" - "I serve one"