Players are able to activate abilities if another player has unlocked them?

I released a project recently and have it open to a few people for testing. They have been telling me that they are able to use abilities that other players have unlocked, but not actually unlocked themselves. I went and decided to print who was activating the ability, and whos Backpack the script was located in (the players get the script cloned to their backpack when unlocking something) (output).

This is how things are set up in the starterpack. Once a player unlocks an ability they get a script pasted into NenLocal.

NenLocal:

local Player = game.Players.LocalPlayer
local Char = workspace:WaitForChild(Player.Name)
local Input = game:GetService("UserInputService")
local Storage = game:GetService("ReplicatedStorage")
local mouse = Player:GetMouse()
if Char then Statistics = Player:WaitForChild("Stats") end


function Down(inputObject, gameEvent)
  if Char and Statistics then
    if inputObject.KeyCode == Enum.KeyCode.E and gameEvent == false then
      Storage.Remotes.KoDown:FireServer()
    elseif inputObject.KeyCode == Enum.KeyCode.T and gameEvent == false then
      Storage.Remotes.EnDown:FireServer()
    elseif inputObject.KeyCode == Enum.KeyCode.Z and gameEvent == false then
      Storage.Remotes.HatsuZDown:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.X and gameEvent == false then
      Storage.Remotes.HatsuXDown:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.C and gameEvent == false then
      Storage.Remotes.HatsuCDown:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.V and gameEvent == false then
      Storage.Remotes.HatsuVDown:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.B and gameEvent == false then
      Storage.Remotes.HatsuBDown:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.N and gameEvent == false then
      Storage.Remotes.HatsuNDown:FireServer(mouse.Hit)
    end
  end
end


function Up(inputObject, gameEvent)
  if Char and Statistics then
    if inputObject.KeyCode == Enum.KeyCode.E and gameEvent == false then
      Storage.Remotes.KoUp:FireServer()
    elseif inputObject.KeyCode == Enum.KeyCode.R and gameEvent == false then
      if Player.Status.Ren.Value == false then Storage.Remotes.Ren:FireServer() end
      if Player.Status.Ren.Value == true then Storage.Remotes.RenOff:FireServer() end
    elseif inputObject.KeyCode == Enum.KeyCode.F and gameEvent == false then
      if Player.Status.Zetsu.Value == false then Storage.Remotes.Zetsu:FireServer() end
      if Player.Status.Zetsu.Value == true then Storage.Remotes.ZetsuOff:FireServer() end
    elseif inputObject.KeyCode == Enum.KeyCode.T and gameEvent == false then
      Storage.Remotes.EnUp:FireServer()
    elseif inputObject.KeyCode == Enum.KeyCode.Z and gameEvent == false then
      Storage.Remotes.HatsuZUp:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.X and gameEvent == false then
      Storage.Remotes.HatsuXUp:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.C and gameEvent == false then
      Storage.Remotes.HatsuCUp:FireServer(mouse.Hit)
    elseif inputObject.KeyCode == Enum.KeyCode.V and gameEvent == false then
      Storage.Remotes.HatsuVUp:FireServer(mouse.Hit)
    end
  end
end



Input.InputBegan:Connect(Down)
Input.InputEnded:Connect(Up)

Function that everyone is able to use when they cannot: (part of the script that gets pasted into NenLocal)

Storage.Remotes.KoDown.OnServerEvent:Connect(function(Player)
	print(""..Player.Name.."(Player activating)")
	print(""..script.Parent.Parent.Parent.Name.."(script location)")
	if Player.Status.Attacking.Value == false and KoCooldown == 0 and Player.Status.Zetsu.Value == false
	and Player.Stuns.ShortStun.Value == false and Player.Stuns.MedStun.Value == false and Player.Stuns.LongStun.Value == false and Player.Stuns.Crush.Value == false then 
		local Animation = Player.Character.Humanoid:LoadAnimation(Storage.Animations.BasicNen.KoCharge)
		Animation:Play()
		Player.Status.Attacking.Value = true
		KoCooldown = 1
		Ko = ServerStorage.Attacks.BasicNen.Ko:Clone()
		Ko.CFrame = Player.Character["Right Arm"].CFrame
		Ko2 = ServerStorage.Attacks.BasicNen.KoParticles:Clone()
		Ko2.Name = "Ko2"
		Ko2.CFrame = Player.Character["Right Arm"].CFrame
		local RHandWeld = Instance.new("Weld")
		RHandWeld.Parent = Ko
		RHandWeld.Part0 = RHandWeld.Parent
		RHandWeld.Part1 = Player.Character["Right Arm"]
		RHandWeld.C1 = CFrame.new(0, -0.6, 0)
		Ko.Parent = Player.Character.Bin
		local RHandWeld2 = Instance.new("Weld")
		RHandWeld2.Parent = Ko2
		RHandWeld2.Part0 = RHandWeld2.Parent
		RHandWeld2.Part1 = Player.Character["Right Arm"]
		RHandWeld2.C1 = CFrame.new(0, -0.6, 0)
		Ko2.Parent = Player.Character.Bin
		local KoThing = Player.Stats.Aura.Value / 50
		local tweenInfo = TweenInfo.new(0.8, Enum.EasingStyle.Quint, Enum.EasingDirection.Out, 0, false, 0)
		local tweenProp = {Size = Ko.Size + Vector3.new(1.4 + KoThing,1.4+ KoThing,1.4+ KoThing);}
		local tweenCreation = tweenService:Create(Ko, tweenInfo, tweenProp)
		tweenCreation:Play()
	end
end)

Maybe it is because the RemoteEvents are stored in ReplicatedStorage in a folder?

Sorry if this seems like a dumb question, this is my first time setting up a game like this.

Thank you for reading