I wanted to point some things out in your application,
First,
If it would be mass RDM i would give an admin valid proof to ban him
You can't actually go straight ahead to banning someone for Mass RDM unless they have atleast 5 recents prior or just depending on what they were.
Second,
First i would ask player Y if he did break NLR. If he admits i would give him a verbal warning. If he doesn't admit and player X has proof it will result in a warning and give him the advice to read the rules again.
If the logs show that Player Y came back to kill Player X within the 3 minute period of NLR, you wouldn't really need proof and go from there.
Other than that your application is pretty good, by the comments you seem to have a good attitude although I would recommend being on everyday up to the meeting to have a chance at Moderator.
P.S its less confusing for us to have the recommended 2 week consistency on one server so we don't have to check all 3.
Goodluck!
Oh yeah i forgot that the district names are there in the logs now... I just meant if player y killed player x in another district.. then he needs proof. And about the mass RDM its just when you know that someone like a french gun dealer isn't going to stop. Anyways thanks for your feedback!