Google Tasks on iOS

Settings for tasks count on the app icon do not correlate to tasks count in the apps "lists" view. For example: if i set the app icon to indicate tasks due today AND tomorrow the "lists" view will not take this into account. If i had a total of 10 tasks, 2 due today and 1 tomorrow, the app indicator would correctly state "3" while the lists view would show 2/10. Could this be fixed so I don't have to go hunting for those tasks due tomorrow? Furthermore, could you add an option for "tasks due in the next week"? Thanks so much Denis!

Is it possible to have the count/ badge update automatically? Currently the app needs to be running but it would be very useful if it can use the multi-tasking/ background processing in iOS4. I find it difficult to know what tasks are due unless I deliberately check the app.