I have a saved search for coming 7 days but unfortunately it does not include Today. To my mind when I think of tasks in the next 7 days I think of today plus next 6 days. I think this is more logical and useful. Currently I have to click on Today as well as my Next 7 days tab.
I would also like to see the number of tasks in saved searches and Done tab in red circle as you do for other tabs.
Also really don't see why it is not possible to hide the Today tab, here is the code in Vb.net tabToday.visible = False. Sorry being facetious but I know this feature has often been requested. It seems poor design that UI concerns are not properly abstracted/seperated from business logic so pehaps some refactoring is warranted as longer term it would benefit the app architecture and future feature requests.
Cheers