How do I make a team from a script and assign the player that team upon entering the game?

I'm trying to make a script so when a player enters the game;

1. A team will be created.
2. The team's name will be the player's username.
3. The colour will be random.
4. Assign the player to that team.

And also it should delete the team the player was on when the player leaves. When I test it, the player joins 'Neutral'. I have a spawn there so the player spawns where I want it. When I take off neutral on the spawn, the spawn 'doesn't exist' anymore (the player doesn't spawn there)

This is what I have so far;

game.Players.PlayerAdded:connect(function(player)
	local team = Instance.new('Team')
	team.Parent = game.Teams
	team.Name = ""..player.Name..""
	team.TeamColor = BrickColor.Random()
	player.TeamColor = BrickColor.new(team.TeamColor)
end)

I'm sorry for the long question/description. Answers are greatly appreciated! :)

function Added(Player)
	local Team = Instance.new("Team") -- create a tea
	Team.Parent = game.Teams
	Team.Name = Player .. [['s team]]
	local Attempt = BrickColor3.random -- chose a random color
	for i,v in pairs(game.Teams:GetChildren()) do
		if v.TeamColor == Attempt then -- if the color has allready been used
			while true do() --                   we keep making new colors until we get one thats not used
				Attempt = BrickColor3.random
					if not Attempt == v.TeamColor then break end
			end
		Team.TeamColor = Attempt -- finalise team color
		Player.TeamColor = BrickColor3.new(Team.TeamColor) -- set players team color
	end
end

function Leave(Player)
	for i,v in pairs(game.Teams:GetChildren()) do
		if v.Name =Player .. [['s team]] then -- find the players team
			v:Remove() --                              and delete it
		end
	end			
end
game.Players.PlayerLeaving:connect(Leave)
game.Players.PlayerAdded:connect(Added)