Finding/Crafting Iron gear is really easy, so it would be unfair to get points for it. Maybe for diamond gear, you could get like 1 point for sword, 2 points for helm/boots, 3-5 points for chest/pants.
I agree that getting to death match should give you points for your kills, but instead of getting the full amount, it gets split in half. So if you win, and say you got 5 kills for 4 points each, you get 20 points. If you win you get it all, but if you get to death match then you get half of it so 10.
Hurting someone if he runs away wouldn't work very well, because you could, say, punch him once, and get a point for it. That would be stupid because you can just get points for punching people at the start and pretend they ran away because you didn't hit them again, or they did run away and you didn't manage to hit again. It would also give extremely easy points for teams, because you could punch your team mate a couple times, let him heal, repeat. Then disconnect and you have a ton more points.
Yeah I agree SirCraftMine. I don't like the idea for different chests give different amounts of points based on the difficulty of finding it, but I like the 1 point per mob. 1 point per chest also wouldn't be very fair, because when you get a cluster of chests, or those chests in the pink house, that would be a lot of points. For the being alive when someone dies, that's an awful idea though. In 48 player servers, there are a lot of deaths right at the beginning and that would be way to easy to get points, even if it's 1 point per death. Maybe if you hit the person with any kind of weapon (sword, axe, fishing rod, bow) It gives you points according to how many hearts of damage you dealt to the person.