The date/time entry fields are poorly designed.
The input method for entering the date range is not intuitive, though it does work correctly. Adding a drag gesture that sets the start date on press and due date on release would be a much cleaner solution.
The time entry button/displays do not feature any form of feedback indicating to the user that a button has been pressed. Because the buttons are so close together, This makes it difficult to tell whether the desired button has been pressed.
The start and due time entry controls seem to share state. This would be "acceptable" if issue 2 was not present, but even then would still be mildly confusing. The control should default to 0:00, and the controls should not share state.