As far as I can tell, classes that I have completed all the homework look the same as classes that I have not.

It would be nice if, instead of selecting "View Prior Lesson Schedule" and then having to guess which is complete, perhaps have a menu item for "Homework" that would list all the classes that have outstanding homework

Great idea! We will definitely add this to our list of new features along with fixing the bug of how the homework is completed vs. not completed appears in each lesson.