How do I add points to someone when they touch a part?

Hi, MrbaconFTW

To start off with your leaderstats script is broken. I have fixed it:

local Name = "Points"
local DataStoreService = game:GetService("DataStoreService")
local DataStore = DataStoreService:GetDataStore("MoneyStats")

game.Players.PlayerAdded:Connect(function(Player)

    local Leaderstats = Instance.new("Folder")
    Leaderstats.Name = "leaderstats"
    Leaderstats.Parent = Player

    local Value = Instance.new("IntValue")
    Value.Name = Name
    Value.Parent = Leaderstats

end)

game.Players.PlayerRemoving:Connect(function(Player)
    DataStore:SetAsync(Player.UserId, Player.leaderstats[Name].Value)

end)

As you can see I have changed the name of the IntValue on lines 11, 12 and 13 to value instead of "Points".

Now adding points when a player hits a part is actually quite simple. Insert this into the part:

debounce = false --Debounce makes it so the "Touched" function can't be spammed.

script.Parent.Touched:Connect(function(hit) 
    if not debounce then debounce = true
           local player = game.Players:GetPlayerFromCharacter(hit.Parent);--Getting Player.
           If player then
               player.leaderstats.Points.Value = player.leaderstats.Points.Value + 1 --Adding a number to "Points". 
           end
           wait(1) --The cooldown before the player can get another point. (Debounce)
           debounce = false 

    end
end)

Hopefully this helps.