They know the house address and the date now, from Kavanaugh's old calendar, July of 1982....
she said she was at the community/country club pool that day...they could find old records that have sign in sheets for guests/members and see if it is the same date on his calendar....
they could go to the address Kavanaugh listed that he had some brew-skis with his friends, and see if it matches with what she described about the house, the stairwell going up, the bathroom location, the size of the living room, the bedroom position to the stairwell and bathroom that she said she was pushed in to....
they can question Mark Judge, twice to see if his story matches up both times.... they could talk to others who knew Bret in high school and college and law school... and recent friends/local bars/ wife... interview those other accusers, follow up with any leads they may be able to give them....
they could get her therapist notes.... review them
there is an awful lot they can do to follow up on the new revelation... and I am not even an investigator and can come up with that.... though I love 'who done it', mystery books....