AGS 0 is a cut grade assigned by the AGS lab. It is the top grade.
Hearts and Arrows appear as a happy coincidence when a diamond is cut a certain way. If you have crisp hearts and arrows it is likely that you have a well cut stone, but it is not a certainty. No lab grades for H&A and the industry does not regulate what can be claimed as an H&A pattern. You can''t even be sure it''s a diamond - a CZ will display a kind of an H&A pattern.
The Pricescope tutorial has a ton of info on cut grades.