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