You’re simply going by numbers that disregard the error in the Julian calendar. That error has now been addressed by numerous writers and researchers.
The great thing about Luke’s gospel is his effort to keep his notations in chronological order. I think that he consulted with many to do that. The things related there appear to have been given him by Peter.
The numbers that I have used here are from Rood’s as yet unrelased “Chronological Gospels” of which I have an advance copy (received it about a month ago).
It is the result of about 30 years of painstaking research by him, and others, including Karaite Jewish scholar Nehemia Gordon of Hebrew University.
It has been sent to be printed, and will be released at Shavuot this year.
I'm going by the numbers used by the historians giving the dates of Tiberius' reign. I am not making a mistake. one can change the frame about, but one cannot change the internal timing relationships. And however the Jewish calendar relates to some other way of plotting long scales, when the Bible says 14 Nisan, it is 14 Nisan, and the time to 25 Kislev is still the same rom year to year, though the time from 25 Kislev to 14 Nisan might not, IIRC.
Will it be available through Amazon and what is the approx price on it?