Who did the false and misleading scam accusation, I or h4ns?
FTFY and the answer is h4ns because he asked you to give his money back but you never refunded yet.
If h4ns did the false and misleading scam accusation,
It's you who are saying that it's false and misleading but the evidences do not say the same. It says h4ns asked several time even in he forum to give him the refund.
why do not you ask him to publish our July 1st email conversation?
Not relevant anymore.
Why did not h4ns publish our July 1st email conversation?
Obviously, he wants to show us that you are a scammer.
To mislead extremely mentally ill and or brain dead bitcointalk accounts?

You are the one who is misleading your extremely mentally ill and or brain dead brain.
Despite of this, why do you support a scam accusation and afterwards start to ask for proof?
The scam accusations had all the evidences it needed to support. Your extremely mentally ill and or brain dead brain may not understand any of it.
In the real world you first investigate and collect proof and afterwards decide whether or not you will support it!

You do not need to teach us the rules and laws, just give the refund.