In SpeedGrader there are multiple sort by functions on assignments including by student name, date submitted and submission status. It would be helpful to be able to sort by due date.

Some assignments have different due dates for individual students. When we allow multiple submissions before the deadline, students may submit early drafts. If their deadline is set for after the official deadline (in the example of personal extenuating circumstances) markers may unwittingly mark a draft version of an assignment. This means they will need to mark again and duplicate efforts. 

Alternatively a warning could be incorporated that the deadline for the piece of work the marker is reviewing has not yet passed.