This could allow start and due dates to be set automatically based on the status of another task.

Here's another possible implementation: Use the status field. A task can be set up so that its status switches to "Next Action" after a specified task is marked as complete.

The app can currently display tasks in the order that they appear in Google Tasks, but this order cannot be changed from within the app.

One trick to implementing this is that each view can display tasks from different folders, contexts, and even different accounts. So, the order of tasks in one view cannot be applied to another view, because the tasks being shown are different.

While accuracy would be reduced, there would be less drain on the battery. Currently, the GPS can be turned off in the system settings but this would be more convenient.
It would also get rid of the issue on some devices in which the GPS stays on even when all location alarms are canceled.

Make sure to include many options for template start and due dates, such as "today", "tomorrow", in 6 days, in 1 week, in 2 months, etc.

This would provide the ability to select a tag, folder, context, goal, or location and include all tasks that do not contain it.

Implied by no tasks; and at a glance makes it always appear like there is one item left.