How did zoroastrian eschatology influence judaism Christianity and Islam?

It's a very complex question but I will try to as easily as I can. It is already known that Zoroastrianism is the oldest monotheistic religion and its precusor faith was called Mazdaism.It originated with Iranian speaking tribes (Aryans) who dominated a vast expanse of landmass that stretched from the shores North of the Black Sea all the way to plains of Northern Indian, Central Asian and Western China. Around the 700BC the Persians(with the Egyptians and Babylonians) were one of the most advanced civilisations ever known to mankind and their influence in the Middle East and Central Asia was to last for hundreds of years. Morever, they left a legacy of their religion and culture. They were the first to develop the concept of the original sin, baptisim, heaven and hell (paradise is a word Persian origins wich means 'enclose garden'), angels and demonology, a sacrificial saviour god(messiah), resurrection, final judgment and the apocalyptic battle between good and evil. Thousands of Jew were subjects of the Persian empire of Cyrus the Great and Persian themselves were benevolent to those who were loyal to their rule. It was during this period (around 600BC) that the Jews were directly influence by Persian religious ideas to the extent that Judaic religion split various major sects: The Pharisee, Essenes, Saducees, Zealots, Sicarii etcc...
This split came about the post Babylonian era (many Jews were slaves in Babylonia 'till the Persians took over power and liberated them) and then came a conflict of tradition and power struggle. There those learned Jewish Rabbis and leaders who welcomed the foreign ideas on their religion and those who wanted to maintain pure Judaic ones. Many hundreds of years later when Rome was the dominant power, sects like the zealots sought to user their power to overthrow the Romans. But that came to a very heavy price with the sack of the great temple of Jerusalem, their people sold into slavery and many of their people vanquished in all corners of Europe and Asia. The Essene group were the most influential on the nascent Christian movement within Judaism as it was very radical in its ideas with Jewish, Iranian (Mithraic/Mazdaic),Egyptian and Hellenic(Platonic)thought. They were the influential group who then evolved as Christians in the strongly Mithraic ( an Iranian religious movement) area where Paul of Tarsul (later St.Paul) was born.