Which task scheduler to choose for OSX / iOS?

Question

iPhone

I would like to find a simple and convenient task scheduler.
1) List of projects, for each project a list of tasks in the form of checkboxes. If there are subtasks, great.
2) Timeline / diary for the project - I want to see a feed like 08/13/2015, Thu ... tasks ... 08/14/2015, Fri ... tasks ... and so on. The ability to quickly prescribe, drag, edit. View completed tasks.
3) Setting deadlines for tasks.
4) The most simple interface with adding tasks in 1 click, and even better, something resembling a note with checkboxes in Evernote.
5) Preferably versions for Mac and iPhone, but you can also online if there is a really convenient service.
Thank you!

Answer 1

As far as I know, https://trello.com/ seems to have all this, I'm not sure.

Answer 2

Microsoft One Note, only some reminder and deadlines are missing (but no one bothers to highlight the inscription "deadline September 5" in red bold italics), and so all of the above is there and much more is added as updates are released.