Simply impossible. Mars goes into retrograde motion once a year, so it can appear to not move against the background stars for a few days at a time. But no way it would do it for 15 months, or anything like that. You should get your money back from whoever sold you that program.
I recommend Stellarium as a free alternative.
There are at least two problems with your theory.
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There is something interesting happening in the sky every night. The visible planets all travel in the same path around the sky (the ecliptic), all at different speeds, so there are several conjunctions every year as one overtakes another, with especially interesting ones every few years at least. There are comets every several years, and novae at unpredictable intervals. Not to mention several meteor showers each year, some of which must have been quite spectacular in the past, when there were no city lights, and there was a lot more debris in the solar system.
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Astrology doesn’t work. And even if it did, I guarantee that there is nothing in the astrology manuals, especially old Babylonian astrology manuals, that says “This conjunction indicates that a new King of the Jews is being born.”
Besides, the whole thing makes no sense. Why would Babylonians, or whatever, care about a new King of the Jews? And if they did, why would they just send three guys to see him when he was a baby, and never again?
In fact, if Mary and Joseph were told by angels that their little bundle of joy was the Messiah, and saw angelic choirs and the magi giving him gold and Herod trying to kill him, why were they so surprised a few years later when he turned out to be precocious? Were they complete dunces?