How do you have animations play cleanly across all clients?

I made this simple animation script for a custom rigged model, and some of the weirdest things are happening with it. The script itself goes inside the model, which goes inside the character. If the script is a LocalScript, all the animations work, however the animations won't play for other clients. If it is a regular Script, then it plays for other clients sometimes, and a lot of times doesn't even play some of the animations.

wait()
state = {Enum.HumanoidStateType.Running,
        Enum.HumanoidStateType.RunningNoPhysics,
        Enum.HumanoidStateType.Jumping,
        Enum.HumanoidStateType.Freefall,
        Enum.HumanoidStateType.Landed
}
animations = {"604617490", -- Running/Walking
            "604935959", -- Idle
            "604942656", -- Moving Jump
            "604952164", -- Idle Jump
            "", -- Freefalling
            "" -- Landing
             }

CurrentState = ""
Animation = ""
canPlay = true

Player = game.Players.LocalPlayer

function playAnimation(Source,animation,player)
    if canPlay then
        local player = script.Parent.Parent
        canPlay = false
        local animTrack = Source.Humanoid:LoadAnimation(animation) -- Load animation into Humanoid
        canPlay = true
        animTrack:Play() -- Start the animation
    end
end

local animation = Instance.new("Animation")

local character = Player.Character
local humanoid = character.Humanoid

humanoid.StateChanged:connect(function(old,new)
    if CurrentState == "Running" and new == state[3] then -- Moving to Jump
        CurrentState = "Jump"

        if animations[3] ~= "" then
            animation.AnimationId = "http://www.roblox.com/Asset?ID="..animations[3]
            playAnimation(character,animation)
        end
    end

    if CurrentState == "Idle" and new == state[3] then -- Idle to Jump
        CurrentState = "Jump"

        if animations[4] ~= "" then
            animation.AnimationId = "http://www.roblox.com/Asset?ID="..animations[4]
            playAnimation(character,animation)
        end
    end

    if new == state[4] then
        CurrentState = "Falling"

        if animations[5] ~= "" then
            animation.AnimationId = "http://www.roblox.com/Asset?ID="..animations[5]
            playAnimation(character,animation)
        end
    end

    if new == state[5] then
        CurrentState = "Landed"

        if animations[6] ~= "" then
            animation.AnimationId = "http://www.roblox.com/Asset?ID="..animations[6]
            playAnimation(character,animation)
        end
    end

end)

humanoid.Running:connect(function(state)
    if state > 3 then
        if CurrentState ~= "Running" then
            CurrentState = "Running"

            humanoid.HipHeight = 1
            animation.AnimationId = "http://www.roblox.com/Asset?ID="..animations[1]
            playAnimation(character,animation)
        end
    else
        if CurrentState ~= "Idle" then
            CurrentState = "Idle"

            humanoid.HipHeight = 0
            animation.AnimationId = "http://www.roblox.com/Asset?ID="..animations[2]
            playAnimation(character,animation)
        end
    end
end)