Reincarnation in all religions

i'm not sure if you're saying this is your belief or what have you... however the Buddha is fairly clear on this point.

1] Samsara Occurs until nirvana is attained.

2] If nirvana is not attained ---then the "cycle of birth & death" continues again and again and again and ...

3] Each individual* has been experiencing samsara since time immemorial.

*this is what "Each individual" in Maya experiences. "Each individual" has their own accrued karma since time immemorial.

This is what Buddhism is all about.

The above are basic concepts in Buddhism.
The above are basic Buddhist concepts that everyone is familiar with.

accrued karma
for Each individual