One thing puzzles me in your story
Getting lawyers in sensitive cases to hand-deliver paper copies of sensitive documents to the Court makes perfect sense.
BUT why should, as your story says, these sensitive documents then be hand-typed into a court computer at all. That simply makes no sense at all, since all it does is to make the electronic copy available to hackers, regardless of whether its online or not: never heard of USB memory sticks or SD cards in miscreant's pockets?
The only proper place for a sensitive document that must not be accessed by unauthorised persons is locked in a fireproof safe. If somebody needs a copy of it, use a photocopier and verify that the copy is shredded as soon as it is no longer needed.