One of the key insights presented is that "fine" in that time would more closely translate to "fee" in our current world. Basically a decent examination showing that folks were more "aware" of the impact of things than we've given them credit for.
OT but for any Shakespeare fans who would like a fictional rendering derived from records like those in the OP of the supporting players in his story, Maggie O'Farrells Hamnet is a profoundly moving (IMO) imagining of his wife, their relationship, children and grief.
Less (a lot less) serious but grounded in history and does cover some of the tragedy: Upstart Crow. Though the portrayal of his father is less than flattering.