This book contains info about the Justitia as well as numerous other convict ships.
"Bound with an Iron Chain: The Untold Story of How the British Transported 50,000 Convicts to Colonial America"
(Google eBook) by Anthony Vaver.
This book has a couple of pages that relay the story and fate of the Justitia. Includes the harsh treatment of Captain Bond towards the convicts. Book also contains a paragraph on what happened to Captain Bond in the US for being found guilty for the numerous deaths on the ship due to the mistreatment of the prisoners.
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This website has a search option to look up the proceedings of those convicted along with their sentences that indicate how many years they would have to serve after being transported to the US:
http://www.oldbaileyonline.org/index.jsp