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All of the public keys are the same (essentially copied over). Since the public keys are the same, that means the same private key will work. The private keys are not on the chain; only you have them.

This applies to all keys (owner, active, posting, memo).

got it...almost ..

:)

They will both be the same. Although if you change your password after the fork they will be different after that point.

got it...almost ..

:)

If you're asking because you're worried - don't be. You will be able to log in and use apps/tools in exactly the same way as you do it now. Both public and private keys will remain the same.

Here you have a great article about keys: Steem Private and Public Keys Demystified

got it...almost ..

:)