How confident are you the Jews in biblical times used Astronomical reckonings which you provided above? The history of the Jewish calendar is divided into three periods— (1) the Biblical, the (2) Talmudic, and the (3) post-Talmudic. The biblical calendar rested purely on the observation of the sun and the moon, the second on observation and reckoning, the third entirely on reckoning. The Talmudic period did not start until
late in the second century. This means the time of Christ was clearly in the Biblical period of the Jewish calendar and its construction rested purely on the observation of the sun and the moon through visual observation. Hence the Jews used a visual sighting for the waxing crescent of the moon to determine the first day of their calendar month depending on how clear the day was varied from 1-3.5 days. The Astronomical reckonings as we have them today that you provided in your post uses the moon in conjunction not the visual sighting of the crescent. What this means is that only Astronomical new moons that you have presented can be found through computation while in biblical sighting of the crescent new moons could only be done through visual observation of the crescent moon which had a
1-3.5 day variation of sighting times. Just some food for thought as we are not able to calculate what they observed so perhaps there is nothing you have posted here that is set in concrete.
Take Care.