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.