So... where to start.
When a player (innocent) see other player (Innocent/Traitor) shooting at other person (innocent/traitor) and kills the person who saw shooting first.
As Tom pointed out, the 'first shooter' could be an Innocent chasing a Traitor after he has gathered enough evidence against him.
3) When a player (Innocent/Detective) uses a golden dealge to shot other player (innocent/traitor).
What does this even mean? Who do you call kos on and why would you intervene? If the player that gets shot at is the Traitor he will die on-hit, if he is an Innocent the shooter will die. As I said, no need to intervene.
Also, you could put the acceptable KOS reasons and their scenario in one paragraph, no need to split them up in two different parts as it looks messy and isn't very handy to read.
I can be annoying, but forget that part
No, we can't "forget that part". As a staffmember you're supposed to represent Zarp and show yourself an example for the Users. Imagine everyone being 'annoying' like you, wouldn't be very fun to play on a server like that, would it?
if you are really avoiding to make RDM but, you have no other choise to kill the RDMers you can get karma banned
You basically just admitted that you're a rulebreaker in your application, good job.
Let me be clear: as I see it now you're not the right guy to become a staffmember. Fix your attitude and understanding of the rules and wait another month to prove that you've changed.