Yeah, everything i said is in case the key IS even.
Anyways,
About reusing the same nonce twice? This can break the security.
I found some python 2.7 scripts on GitHub named "R-Scanner" that can search addresses for this type of vulnerabilities.
But they all do not work (They all forks of
https://github.com/ca333/rng-scanner) even when i tried to migrate to Python 3 and debug.
Think about it,
If anyone would have a simple script that searches a blockchain API for this type of transactions...
This been already fixed quite a long while ago.
In case of even or odd also a long story.
If there existed such method to determine whether point is even or odd that would break ecdsa security.