Why does my script not work when a new player joins?

My script keeps repeating Intermission and "Choosing players" after a new player joins after one round. Why is that?

Award = 1
local gui = game.Workspace.Part1.v.z

game.Players.PlayerAdded:connect(function(plr)
	local leaderstats = Instance.new("IntValue")
	leaderstats.Name = "leaderstats"
	
	local points = Instance.new("IntValue")
	points.Name = "Points"
	
	points.Parent = leaderstats
	leaderstats.Parent = plr
end)

GIP = false
function Fight()
	winner = "No one"
	ended = false
	GIP = true

	for i = 15, 0, -1 do
		if i <= 9 then
			gui.Text = "Intermission (0:0"..i..")"
		else
			gui.Text = "Intermission (0:"..i..")"
		end
		wait(1)
	end
	gui.Text = "Now choosing duelers."
	wait(5)
	
	local plrs = game.Players:GetPlayers()
	if #plrs <= 2 then
	local p1 = plrs [math.random(1, #plrs)]
	local p2 = plrs [math.random(1, #plrs)]
	ended = false
	repeat p2 = plrs[math.random(1, #plrs)] until p2 ~= p1
	
	gui.Text = p1.Name.. " and " ..p2.Name.. " have been chosen to duel."
	wait(3)
	
	p1.Character.Torso.CFrame = CFrame.new(148.9, 13.6, 14.4) 
	p2.Character.Torso.CFrame = CFrame.new(148.9, 13.6, -59.6)
	
	local sword1 = game.ServerStorage.Sword1:Clone()
	sword1.Parent = p1.Backpack
	
	local sword2 = game.ServerStorage.Sword2:Clone()
	sword2.Parent = p2.Backpack
	
	p1.Character.Humanoid.WalkSpeed = 0
	p2.Character.Humanoid.WalkSpeed = 0
	
	wait(2)
	
	for i = 3, 0, -1 do
		gui.Text = "Starting in (0:0"..i..")"
		wait(1)
		if p1.Character ~= nil and p2.Character ~= nil then
		else ended = true break 
		end
	end
	
	p1.Character.Humanoid.WalkSpeed = 16
	p2.Character.Humanoid.WalkSpeed = 16
	
	wait(0.1)
	
	for i = 30, 0, -1 do
		if ended == true then break end
		gui.Text = "Round, please wait (0:"..i..")"
		if i <= 9 then
			gui.Text = "Round, please wait (0:0"..i..")"
		end
		game.Players.PlayerRemoving:connect(function(player)
			if player.Name == p1.Name then winner = p2.Name ended = true end
		end)
		game.Players.PlayerRemoving:connect(function(player)
			if player.Name == p1.Name then winner = p2.Name ended = true end
		end)
		if p1.Character ~= nil then p1.Character.Humanoid.Died:connect(function()
			if ended == false then
			p2.leaderstats.Points.Value = p2.leaderstats.Points.Value + Award
			winner = p2.Name
			--game:GetService("PointsService"):AwardPoints(p2.userId,1) --Remove the first 2 dashes to activate PP. Edit the 1 to how many PP you want to give
			ended = true end
		end)end
		if p2.Character~=nil then p2.Character.Humanoid.Died:connect(function()if ended == false then
			p1.leaderstats.Points.Value = p1.leaderstats.Points.Value + Award
			winner = p1.Name
			--game:GetService("PointsService"):AwardPoints(p1.userId,1) --Remove the first 2 dashes to activate PP. Edit the 1 to how many PP you want to give
			ended = true end
		end)end wait(1)
		if ended == true then wait()break end
	end
	if p1.Character ~= nil then
	p1.Character.Torso.CFrame = CFrame.new(192.9, 3.4, -30.1) 
	while wait() do if p1.Character.Humanoid ~= nil then p1.Character.Humanoid:UnequipTools() break end end
	p1.Backpack:ClearAllChildren()end
	
	if p2.Character ~= nil then p2.Character.Torso.CFrame = CFrame.new(183.9, 3.4, -30.1)
	p2.Character.Humanoid:UnequipTools()
	p2.Backpack:ClearAllChildren() end end
	gui.Text = winner.." has won"
	wait(2)
	GIP = false
end

while true do
	if game.Players.NumPlayers > 1 and GIP == false then
		wait(0.5)
		Fight()
	elseif game.Players.NumPlayers == 1 then
		gui.Text = "Waiting for 2 or more players."
	end
	wait()
end