overdue, today, tomorrow and a project?
Is it possible for the home page to be overdue, today, tomorrow as well as including a project like "inbox"
unfortunately, that's not possible right now. You can use a custom query in Todoist's Preferences -> General -> "Start page", but it's not possible to combine it with a project view.
We will consider adding such option in the future, though. You're welcome to vote for this request in our Votebox: http://todoist.com/Vote/showProposal/49/