The seven books of the Harry Potter series mention King's Cross station, Tottenham Court Road, the Forest of Dean, Romania, London, Surrey, Nicholas Flamel, Agrippa, Ptolemy and Paracelsus (to name but a few). But that does not mean that the Harry Potter stories are true.
'
Every Man For Himself' by Beryl Bainbridge mentions the Titanic, Southampton, Queenstown, Captain Smith, Colonel Gracie, John Jacob Astor, Lady Duff Gordon, Officer Lightoller and the Carpathia (again to name but a few). But the story contained within this book of Morgan, Wallis and Scurra is fiction, even though the backdrop to the story, the sinking of the Titanic, is fact.
Just because the Bible mentions some real people and real places does not mean that the stories contained within it are factual. As I have demonstrated, setting fictional stories against a factual background is a common literary device.
Your 'proof' of the dates of the birth and death of Jesus, even if he existed, are based on the false contention that the Jewish calendar prior to the 4th century was purely lunar. You fail to account for the intercalary month which was inserted as necessary so that Passover remained in spring. No amount of appealing to fig trees or linen cloths is going to change that you are quite simply wrong.