Your omitting any refernce to Josephus undermines the credibility of your presentation for he is the only authority of Jewish biblical history outside of the Bible writers.
Josephus confirms that the temple foundations were laid in the second year of Cyrus. This confirms that the Jews returned in 538 BCE.
Josephus also confirms the period from the fall of Israel until the reign of Cyrus as 182.5 years.
Seriously, you're just going to embarrass yourself.