There's a pretty big gap from the first time you played on the server to where you decided to apply.
We recommend everyone has a consistency of activity for two weeks, that way we know just how active they can be, and your application could use some more detail and better explanations of your examples because they aren't very clear as it is, and some are relatively wrong aswell.
An example of something wrong is that your first unacceptable KOS states "If an innocent killed a traitor but didn't check id but dies by an innocent." You're stating that an innocent killed a traitor, but the innocent who killed the traitor didn't ID their body, thus he was killed by another innocent? I'm only assuming because I can't quite tell, but there are somethings to take into account. Was the innocent given ample time to ID the body or did they decide to ignore checking it?
(If) They were given ample time to ID the body and didn't, and nobody else ID'd the body to confirm that it was in fact a traitor, it wouldn't be an unacceptable KOS, that would in fact be an acceptable KOS.
(If) They were NOT given ample time to ID the body, and were killed before they were able too, that would joining a gun fight, thus an unacceptable KOS by the second innocent.
I should probably state that these can be depending on the situation on hand, but just some more clear examples with their scenarios will definitely help out!