Grab tool - Works only locally?

I've tried scripting a grab tool on my own. Seems to work when I tried testing in the Studio, doesn't work at all (bar the arm-moving part, which I copied from the Night At The Museum flashlight.)

Here are the scripts.

Server:

wait(0.4)

local Tool = script.Parent
local Handle = Tool:WaitForChild("Handle")
local Remote = Tool:FindFirstChild("Remote")

local Weld
local Motor
local MotorPart0
local MotorPart1

local GripParts = {}

local CertainPartsToGrab = {"Part", "Potato"} --Certin name of parts TO GRAB
local GrabListOn = false --Is this list functional? If true, then grabs ONLY parts with names in this bracket and nothing else
local CertainPartsToIgnore = {"Baseplate", "Capitalism"}  --Certin name of parts TO IGNORE
local IgnoreListOn = true --Is this list functional? If true, then grabs EVERYTHING ELSE except parts in this bracket

local PartRange = 5 --How far away from the torso can the part be grabbed (in studs)

local GrabbedPart 

print ("ok")

function getPlayer()
	return game:GetService("Players"):GetPlayerFromCharacter(Tool.Parent)
end

function setPointDirection(position)
	local char = Tool.Parent
	if not char then return end
	
	if not Weld then
		Motor = char.Torso["Right Shoulder"]:Clone()
		MotorPart0 = char.Torso
		MotorPart1 = char["Right Arm"]
		
		Weld = Instance.new("Weld")
		Weld.Part0 = char.Torso
		Weld.Part1 = char["Right Arm"]
		Weld.C0 = CFrame.new(1, 1, 0)
		Weld.Parent = Weld.Part0
	end
	local jointPosition = Weld.Part0.CFrame:toWorldSpace(CFrame.new(1.5, 0.5, 0))
	local cframe = CFrame.new(jointPosition.p, position) * CFrame.Angles(math.pi/2, 0, 0) * CFrame.new(0, -0.5, 0)
	Weld.C0 = Weld.Part0.CFrame:toObjectSpace(cframe)
end

function MouseDown(Mouse, Character, Torso, RArm)
	print("MouseDown server fire")
	local GrabListPass = false
	local IgnoreListPass = false
	local RayBeam = Ray.new(Torso.CFrame.p, (Mouse.Hit.p - Torso.CFrame.p).unit * 300)
	local RayHitPart, RayHitPos = game.Workspace:FindPartOnRay(RayBeam, Character, false, false)
	local Distance = (Torso.CFrame.p - RayHitPos).magnitude
	if GrabListOn == true then
		for _, Name in pairs (CertainPartsToGrab) do
			if tostring(Name) == RayHitPart.Name then
				GrabListPass = true
				break
			elseif tostring(Name) ~= RayHitPart.Name then
				GrabListPass = false
			end
		end
	elseif GrabListOn == false then
		GrabListPass = true
	end
	if IgnoreListOn == true then
		for _, Name in pairs (CertainPartsToIgnore) do
			if tostring(Name) ~= RayHitPart.Name then
				IgnoreListPass = true
			elseif tostring(Name) == RayHitPart.Name then
				IgnoreListPass = false
				break
			end
		end
	elseif IgnoreListOn == false then
		IgnoreListPass = true
	end
	if GrabListPass == true and IgnoreListPass == true then
		if Distance <= PartRange and Mouse.Target ~= nil then
			GrabbedPart = Mouse.Target
			local PosPartR = Instance.new("Part", game.Workspace)
			PosPartR.CFrame = CFrame.new(RayHitPos)
			PosPartR.Anchored = false
			PosPartR.CanCollide = false
			PosPartR.Size = Vector3.new(0.2, 0.2, 0.2)
			PosPartR.Transparency = 1
			
			local PartWeld = Instance.new("Weld", PosPartR)
			PartWeld.Part0 = PosPartR
			PartWeld.Part1 = RayHitPart
			
			table.insert(GripParts, PosPartR)
			
			local RPartAttach = Instance.new("Attachment", PosPartR)
			RPartAttach.Position = Vector3.new(0, 0, 0)
			RPartAttach.Name = "RightPartAttachment"
			
			local RArmAttach = Instance.new("Attachment", RArm)
			RArmAttach.Name = "RightArmAttachment"
			RArmAttach.Position = Vector3.new(0, -1, 0)
			
			local RBallCons = Instance.new("BallSocketConstraint", PosPartR)
			RBallCons.Name = "RGripCons"
			RBallCons.Attachment0 = RPartAttach
			RBallCons.Attachment1 = RArmAttach
			GrabbedPart.CanCollide = false
		end
	end
end

function MouseUp(RArm)
	print("MouseUp server fire")
	for _, Part in pairs (GripParts) do
		Part:Destroy()
	end
	
	for _, Part in pairs (RArm:GetChildren()) do
		if Part.Name == "RightArmAttachment" then
			Part:Destroy()
		end
	end
	
	if GrabbedPart then
		GrabbedPart.CanCollide = true
		GrabbedPart = nil
	end
end

function onRemote(player, func, ...)
	if player ~= getPlayer() then return end
	
	if func == "UpdateDirection" then
		setPointDirection(...)
	end
	if func == "MouseDown" then
		MouseDown(...)
		print("MouseDown remote fire")
	end
	if func == "MouseUp" then
		MouseUp(...)
		print("MouseUp remote fire")
	end
end

function onEquipped()
	Handle.Transparency = 1
end

function onUnequipped()
	if Weld then
		Weld:Destroy()
		Weld = nil
	end
	if Motor then
		Motor.Part0 = MotorPart0
		Motor.Part1 = MotorPart1
		Motor.Parent = MotorPart0
		Motor = nil
	end
	Handle.Transparency = 0
	
	for _, Part in pairs (GripParts) do
		Part:Destroy()
	end
	local RArm = getPlayer().Character:FindFirstChild("Right Arm")
	for _, Part in pairs (RArm:GetChildren()) do
		if Part.Name == "RightArmAttachment" then
			Part:Destroy()
		end
	end
end

Remote.OnServerEvent:connect(onRemote)
Tool.Equipped:connect(onEquipped)
Tool.Unequipped:connect(onUnequipped)

Local:

local Player = game:GetService("Players").LocalPlayer
local Mouse = Player:GetMouse()

local Tool = script.Parent
local Remote = Tool:WaitForChild("Remote")

function onMouseMove()
	Player = game:GetService("Players").LocalPlayer
	Mouse = Player:GetMouse()
	Remote:FireServer("UpdateDirection", Mouse.Hit.p)
end

function onMouseDown()
	Player = game:GetService("Players").LocalPlayer
	Mouse = Player:GetMouse()
	local Character = Player.Character
	local Torso = Character:FindFirstChild("Torso")
	local RArm = Character:FindFirstChild("Right Arm")
	Remote:FireServer("MouseDown", Mouse, Character, Torso, RArm)
	print("MouseDown fire")
end

function onMouseUp()
	Player = game:GetService("Players").LocalPlayer
	local Character = Player.Character
	local RArm = Character:FindFirstChild("Right Arm")
	Remote:FireServer("MouseUp", RArm)
	print("MouseUp fire")
end

Mouse.Move:connect(onMouseMove)
Mouse.Button1Down:connect(onMouseDown)
Mouse.Button1Up:connect(onMouseUp)

game:GetService("RunService").Heartbeat:connect(onMouseMove)

As I've mentioned before, the tool worked flawlessly in the local Studio test. It's broken when used in an actual game server.