Removing GUI after death or reset?

I am currently making a 2D obby game and when the user dies I don't want the starter GUI to reappear (which it is currently doing). Currently the StartingScreen (name of GUI) and its localscript is located in startergui (If this needs to be moved tell me!). If there is anyway of doing this that would be great.

LocalScript:

repeat wait() until game.Players.LocalPlayer.Character
local character = game.Players.LocalPlayer.Character
Start = script.Parent.StartButton
CourseSelect = script.Parent.CourseSelect
angle = 0
go = 0
CourseSelect.Visible = false
Num = 0
Course1 = script.Parent.CourseSelect.Course1
Course2 = script.Parent.CourseSelect.Course2
Course3 = script.Parent.CourseSelect.Course3
Course1.Visible = false
Course2.Visible = false
Course3.Visible = false
-- Size X 400, Size Y 300
print("Started = false")
					
function ClickedStart()
	CourseSelect.Visible = true
	Start.Visible = false
    for GuiSize = 1, 45 do 
        if GuiSize <= 45 then
            CourseSelect.Size = CourseSelect.Size +UDim2.new(0.01, 0, 0.015, 0)
			Num = Num +1
			print(Num)
        end
	 wait()
    end
	Course1.Visible = true
	wait(1)
	Course2.Visible = true
	wait(1)
	Course3.Visible = true
end

function ClickedCourse1()
	Course1.Visible = false
	Course2.Visible = false
	Course3.Visible = false
	CourseSelect.Visible = false
character:MoveTo(game.Workspace.Course1Tele.Position + Vector3.new(0,3,0))
end

Course1.MouseButton1Down:connect(ClickedCourse1)
Start.MouseButton1Down:connect(ClickedStart)

Use the hidden ResetPlayerGuiOnSpawn property. It will stop any GUIs from getting removed/reset when your character respawns. http://wiki.roblox.com/index.php?title=ResetPlayerGuiOnSpawn_(Property)

StarterGui is what you get each time you respawn. Therefore, if you make the GUI in StarterGui invisible, each time a player respawns it will be invisible.

However, now you have the problem that if a player joins the game, they won't be able to see it. To fix this, when a player first joins the game make the GUI in their PlayerGui visible. Since PlayerGui is what they are currently seeing, they will be able to interact with the GUI just fine. Once they respawn, however, they will not be able to see the GUI anymore.

In a server script in ServerScriptService or Workspace:

game.Players.PlayerAdded:connect(function(plr)
	plr:WaitForChild("PlayerGui"):WaitForChild("Name of GUI here").Visible = true	
end)

If you have GUIs in other GUIs then you will need more WaitForChild()s

That's actually easy : just go in the ScreenGui properties and disable "ResetOnSpawn". That'll make like the gui never existed IF it has been removed before.