Hi @thisisme,
I came across this unanswered question while doing a community cleanup.
I can say with pretty good certainty that Canvas cannot currently do #4.
For #3, SpeedGrader for quizzes is something like that, but you generally have to choose a student or question as the base item to start grading and then you can navigate through the opposite item as you go...
For #2, the How do I view student results in a quiz? - Instructure Community guide should show you how to do that for the classic quizzes engine (I'm unsure about new quizzes)
Finally for #1, the Item and Student analysis reports available under Quiz Statistics may suit your needs, although I think you might need to combine the two reports to get the exact view you're looking for.
I hope this belated answer might still help!
-Chris