Changing a Player's Skybox Locally not working?

Ok, so here's my current issue.

In my game I have 3 separate scripts, where if you're within a certain range of a coordinate, it changes your Skybox and some lighting variables, and if you go out of range of it then it sets the players back to the first Skybox they had.They are all local scripts found under the StarterGUI folder, which - in my knowledge - meant that the changes will only be seen by the LocalPlayer.

First Script:

local player = game.Players.LocalPlayer
local radius = 3000


while true do
    if player:DistanceFromCharacter(Vector3.new(53.007, -103.993, 32.019)) < radius then
            print("Player is within radius")
        script.Parent.AreaChange.Disabled = false
        wait(1)
    else
        print("Player is out of range")
        script.Parent.AreaChange2.Disabled = false
        wait(1)
    end
end

Second Script (AreaChange):

skych = game.Lighting.Sky

if skych.SkyboxBk == "http://www.roblox.com/asset/?version=1&id=1013852" then
    print("Already set to sky")
    script.Disabled = true
else
    skych.SkyboxBk = "http://www.roblox.com/asset/?version=1&id=1013852"
    skych.SkyboxDn = "http://www.roblox.com/asset/?version=1&id=1013853"
    skych.SkyboxFt = "http://www.roblox.com/asset/?version=1&id=1013850"
    skych.SkyboxLf = "http://www.roblox.com/asset/?version=1&id=1013851"
    skych.SkyboxRt = "http://www.roblox.com/asset/?version=1&id=1013849"
    skych.SkyboxUp = "http://www.roblox.com/asset/?version=1&id=1013854"
    game.Lighting.Ambient = Color3.fromRGB(117, 78, 0)
    game.Lighting.FogColor = Color3.fromRGB(152, 76, 0)
    game.Lighting.FogEnd = 500
    wait(1)
    print("Script Disabled")
    script.Disabled = true
end

The third script (AreaChange2) is essentially the same as AreaChange, save that it uses different Skybox URL's. (I'm using the while loop method as that's the only method I fully comprehend atm so I added the if statement in the second and third scripts)

Now to the heart of the issue. So whenever it's used in a game with 2 or more people playing, and 1 person is within range while another is out of range, it flips back and forth between the Skyboxes, as though it was a global function instead of a local one. This leads me to ask two questions: 1) Is there an error in my script? and 2) Do the Skybox and Lighting Classes only function as global classes instead of local ones?