How to Throw object with middle mouse click?

I am making a game in which you have to escape each level by picking up, throwing and dropping parts.

My middle click (throwing) function isn't working. The part isn't moving at all, and I'm not sure if the click is registering. Am I using the input wrong? Please help.

Oh, and here's the code.

local player = game.Players.LocalPlayer
local mouse = player:GetMouse()
local uis = game:GetService("UserInputService")

local pack = player:WaitForChild("Backpack")
local character = player.Character

mouse.Icon = "rbxassetid://3248591495"

mouse.Button1Down:Connect(function()
	if mouse.Target ~= nil then
		if mouse.Target.Locked == false then
			mouse.Target.Name = "Handle"
			local tool = Instance.new("Tool", pack)
			tool.CanBeDropped = false
			tool.TextureId = "rbxassetid://3248571585"
			mouse.Target.Parent = tool
		end
	end
end)

mouse.Button2Down:Connect(function()
	if character.Tool ~= nil then
		character.Tool.Handle.CanCollide = true
		character.Tool.Handle.Position = mouse.Hit.p
		character.Tool.Handle.Parent = workspace
		character.Tool:Destroy()
	end
end)

if uis:IsMouseButtonPressed(Enum.UserInputType.MouseButton3) == true then
	if character.Tool ~= nil then
		character.Tool.Handle.CanCollide = true
		character.Tool.Handle.Parent = workspace
		character.Tool.Handle.CFrame = CFrame.new(character.Tool.Handle.Position, mouse.Hit.p)
		character.Tool.Handle.Velocity = character.Tool.Handle.CFrame.LookVector * 5
		character.Tool:Destroy()
	end
end

uis.InputBegan:Connect(function(input, processed)
	if input.KeyCode == Enum.KeyCode.ButtonR2 then
		if mouse.Target ~= nil then
			if mouse.Target.Locked == false then
				mouse.Target.Name = "Handle"
				local tool = Instance.new("Tool", pack)
				tool.CanBeDropped = false
				tool.TextureId = "rbxassetid://3248571585"
				mouse.Target.Parent = tool
			end
		end
	end
	if input.KeyCode == Enum.KeyCode.ButtonL2 then
		if character.Tool ~= nil then
			character.Tool.Handle.CanCollide = true
			character.Tool.Handle.Position = mouse.Hit.p
			character.Tool.Handle.Parent = workspace
			character.Tool:Destroy()
		end
	end
end)