RemoteEvent firing on all clients?

I scripted guns that use a RemoteEvent to get the player's mouse so the bullet can be aimed. However when playing the game when someone shot it made all other player's guns fire at the same spot. What is the error with my code? Local script:

local tool = script.Parent
local player = game.Players.LocalPlayer
local mouse = player:GetMouse()

local function onEquip()
	tool.GUI2.Parent = game.Players.LocalPlayer.PlayerGui
	mouse.Icon = "http://www.roblox.com/asset/?id=5110080608"
end

tool.Unequipped:Connect(function()
	game.Players.LocalPlayer.PlayerGui.GUI2.Parent = tool
	mouse.Icon = ""
end)

function onActivate()
    mouse = player:GetMouse()
    game.ReplicatedStorage.Shoot:FireServer(mouse.Hit)
end

tool.Activated:Connect(onActivate)
tool.Equipped:Connect(onEquip)

Server script:

local tool = script.Parent
local debounce = false
local remoteEvent = game.ReplicatedStorage.Shoot
 
local function onEquip()
	tool.Barrel.Equip:Play()
end
 
 
local function onActivate(player, mouse)
	if debounce == false then
		debounce = true
		if script.Parent.Ammo.Value ~= 0 then
		local Fire = Instance.new("Fire")
		Fire.Parent = tool.Muzzle
		Fire.Size = 2
		Fire.Color = Color3.new(255, 176, 0)
		Fire.SecondaryColor = Color3.new(255, 176, 0)
		local missile = game.Lighting.Pellet:Clone()
		missile.CFrame = script.Parent.Parent.HumanoidRootPart.CFrame + script.Parent.Parent.HumanoidRootPart.CFrame.LookVector * 10
		missile.Parent = tool.Parent
		missile.BodyPosition.Position = mouse.Position
			tool.Muzzle.Fire:Play()
			tool.Ammo.Value = tool.Ammo.Value - 1
	wait(.3)
		Fire:Destroy()
	wait(.22)
			debounce = false
					else
			tool.Barrel.Reload:Play()
			wait(1.5)
			tool.Ammo.Value = 7	
			wait(.22)
			debounce = false
end
	end
	end
 
tool.Equipped:Connect(onEquip)
tool.Activated:Connect(onActivate)
remoteEvent.OnServerEvent:Connect(onActivate)