I'm only going to answer this question:
In which month of pregnancy a soul enters into a new body (foetus)?
According to Garbha UpanishadGarbha Upanishad, the soul enters the foetus in the seventh month:
सƯमेमासेजीवेन सयं ुƠो भवित ।सप्तमे मासे जीवेन संयुक्तो भवति |
अƴमेमासेसवसर् पं ूणȾ भवित ।अष्टमे मासे सर्व संपुर्णो भवति ||2||
English Translation: In the seventh month, [the embryo] comes to have the jīva (conscious self), and in the eighth month, it becomes complete in every sense.