many similarities between zoroastrianism and christianity

i've been reading about zoroastrianism and i must say there are very many similarities between it and christianity (and probably many other religions as well). zoroastrianism is seen as one of the oldest religions in the world. similarities with christianity include (but are not limited to):
* battle/struggle between good and evil
* heaven and hell
* a virgin-born savior
* a god who created the world
* Active participation in life through good thoughts, good words and good deeds is necessary to ensure happiness
* free will
* rejection of monasticism (similar to lds christianity)
* god/good will eventually prevail over evil and time will end
* At the end of time a savior-figure [a Saoshyant] will bring about a final renovation of the world (frasho.kereti), and in which the dead will be revived (resurrection).
* god (mazda) communicates to humankind through another being (spenta mainyu -- comparable to jesus or the holy ghost)
* evil is represented by a being (angra mainyu -- comparable to the devil)
* people existed as souls before birth and have a protector (fravashi -- comparable to a guardian angel)

update:

Although older (roughly early first millennium BCE, see Zoroaster), Zoroastrianism only enters recorded history in the mid-5th century BCE
...
Zoroastrianism was founded by the Prophet Zoroaster (or Zarathustra) in ancient Iran however it is debated to exactly when he lived as there are estimates erunning from 1700 BC to 500 BC existing. The precise date of the founding of Zoroastrianism is uncertain. An approximate date of 1200-1500 BCE has been established through archaeological evidence and linguistic comparisons with the Hindu text, the Rig Veda. However there is no way of knowing exactly when Zoroaster lived as he lived in what to his people were prehistoric times.

how is this older than christianity? christian scripture places adam and eve at around 4000 BC.