Kland, regarding March 22 I think you could be right because even under ideal conditions the new moon cannot be visible on the evening of the 20th which is the start of the 21st but will visible by the evening of the 21st which is the start of the 22nd. Thank you for pointing that out. So, the 22nd along with the 21st are both candidates for the start of the month and new year. When I'm able, I'll try to narrow it down.
Last edited by Mark Shipowick; 03/19/15 01:57 PM. Reason: I did some more checking