Your app looks okay and I can tell you know what your talking about.You have alright activity but sometimes you can get a bit immature in-game.
However on your NLR situation you can't just warn someone because of the logs. If Player X kills Player Y and then Player Y kills Player X you can't just warn Player Y without asking him his story. Although the log's make it clear that he did indeed kill Player X while having NLR, he could have a solid reason e.g He could have gotten defibbed , he could have killed Player X in crossfire , Player X may have shot him first etc. So you gotta ask both sides of the story and get relevant proof before you decide to warn someone.
Otherwise your handling situations looks to be okay.
I'm going to give you a

, my final verdict will be in the meeting!