My Verdict:
Friendly player
As I have told you before, your recent activity is important
Also, I think you rushed while making this app, needs more effort
Need to improve some parts of application (look below)
For these reasons, i will stay 
Quote 1:
I would have tped to him and said: Why do you metagame? And he doesnt know what metagame is, then i would have told him it. If he did know then i would have warned him.
As staff team, we don't instantly tp or /warn users when they metagame. However, if they continue doing that, we consider as they are doing it on purpose and warn them.
Quote 2:New Life Rule, also known as NLR, Is you cant go back to the district you died at. Example: Player Y raids Player X and Player x killes player y and player y comes back and kills player x becuse he killed him.
You forgot to add that NLR has 3 minutes timer, not infinite. And also, your example is more likely Revenge RDM than NLR.
Quote(s) 3:Explain how you would handle the following situation:
Player x accuses player y for RDMing him, the console log shows that player y killed player x. I would have tped both and asked them for proof and storie's. If they dont have proof then i would have said: i cant do anything with no proof. sorry.
Explain how you would handle the following situation:
Player x accuses player y for breaking NLR, the kills are pretty close together in console (a few lines apart) at a peak time. I would have tped them both and asked for proof, Since it stands in logs that he broke nlr, i still need proof. no proof, then i cant do anything.
You can warn the player if they confess or do not have valid reason or keep changing stories / lying. Just wanted you to know this, but if both players accuse each other without proof, then you'd be right at that point.
Good luck with your appeal ^_^