Firstly your activity is a bit meh , your AFK alot so I'd say your real activity is around half of that.
You really need to expand on your explanations a bit and detail them better.I'll give you some help.
Also just a suggestion , try to put the questions in bold so its a bit easier to read.
NLR:NLR (New Life Rule) is when anyone die in 1 district and go back there before 3 minutes after the dead.
Also add that you cannot interact with the player/players that killed you until the 3 minute timer is up no matter which district they are in.
RDM Situation:First i will ask player X for proof, if he hasn't got any proof i will tell him next time to get proof or if he has proof but it is bad i will tell him to get better proof next time.
First you want to talk to both players and get their stories.You ask for proof if the stories don't match.
NLR Situation:First i will ask for proof because if there is no proof i can't warn. If there is proof i will warn player Y. If the proof is bad i will tell him to get better proof next time.
Again , you'd want to talk to both players and get their stories.Then if necessary you ask for sufficient evidence.
Metagaming:I will tell him not to metagame and if he does that again i will need to warn him for MetaGaming.
You'd want to explain the rule to him so he understands not to do it again.
You have a good attitude in-game and it's good that you want to help out the server ,but I don't think your ready for the position just yet , play a bit longer and get to know the rules a bit more.
My Verdict :