If a Person dies ? Does the Chakra vanish ?
First of all, after all human and other living being got chakra inside their body, all realms(reality realm, space/time realm, pure realm, kamui realm etc) inside Naruto universe have been modified to accept chakra as a common nature. New type of world have been created.
For the first question-
When person died, their chakra will stay with their body. Chakra are not foreign thing inside human body. When we separate real body and spiritual body, chakra will stay with spiritual body and not real body. Its because human soul was the origin/producer of chakra.
But when Shinju roots absorb human chakra, they died and its because Soul cant produce chakra at fast rate to replace back lost chakra.
There are proof that after person dies their chakra remained intact and not vanished. Example:-
1. Hagoromo Otsutsuki
2. Ashura and Indra
3. Obito
4. Past Kages including Edo
Like I said before. Chakra will goes with Spiritual body after they die and Soul is at the center and a producer of spiritual energy(chakra).
Does a Person come to world with chakra from the Parents or does it come from No where ?
All chakra came from creator of NV but not Shinju(Shinju was one of NV god creation to collect natural energy). Shinju already registered to its creator that current NV is chakra base world unlike before Kaguya arrived.
Thats mean all new human chakra came from NV creator and not their parents, they just inherit their parents DNA.
Was kaguya thousand yeaars ago stronger or current kaguya because she had more powerful quality chhakra from Clans too absorb ?[/QUOTE]
No. Current Kaguya is much stronger if she manage to absorb all human chakra.
Its because, current Kaguya has Shinju and with all people chakra. She is stronger than her prime self.
But that if she have all chakra, if not Past Kaguya still stronger.