And also, why is Я пойду in your list? That means "I will go" not "I shall" or "I ought to".
Because we use "я пойду" or "я побегу", this kind of thing in the meaning of an immediate action, instead of a planned action, like "ну, я пошёл". This translates into a "shall-phrase", like "Shall I go now?" = Ну, я пошёл уже? or Ну что, пойду я уже.

This is not quite the same as "I will go" = Я пойду (на концерт завтра)