roblox lua error Workspace.Door.doorscript:2: attempt to index nil with 'Name'?

Hello, is this a LocalScript or Script and where? If it's a Script then you can't do game.Players.LocalPlayer.Name, and if it's a LocalScript, your errors is basically saying LocalPlayer is nil because it says Attempt to index nil with "Name" so the index is LocalPlayer. I recommend getting the player and then the name in different variables like this:

local player = game.Players.LocalPlayer
local name = player.Name

ONLY IF IT'S A LOCALSCRIPT! and if it's a Script, you can get the player by doing:

game.Players.PlayerAdded:Connect(function(player) --Gets the local player by an event.

That will run and get the local player every time someone joins. Only do that line if it's a Script. Hope this answer helps you and good luck! :D

You're trying to get the LocalPlayer on the server, which won't work because the server isn't associated with any of clients so it will just return nil instead. You can only get the LocalPlayer on the client.

Instead, you can get the player by using the GetPlayerFromCharacter function inside the touched event.

local door = script.Parent
local tweenservice = game:GetService("TweenService")
local Players = game:GetService("Players")
local tweeninfo = TweenInfo.new(
    0.5,
    Enum.EasingStyle.Linear,
    Enum.EasingDirection.Out,
    0,
    false,
    0
)
local openpos  =  {CFrame = CFrame.new(-166, 7, 195.5)}
local closepos = {CFrame = CFrame.new(-197, 7, 195.5)}
local open = tweenservice:Create(script.Parent,tweeninfo,openpos)
local close = tweenservice:Create(script.Parent,tweeninfo,closepos)

local function touch(hit)

    if Players:GetPlayerFromCharacter(hit.Parent) then -- Checking if hit.Parent has a player
        local Player = Players:GetPlayerFromCharacter(hit.Parent) -- Getting the player from hit.Parent
        local Name = Player.Name
        -- open
        if Name == "AxisAgent" or Name == "babychickless" or Name == "Diamondboy431" or Name == "CoolBeckett102" then
            open:Play()
        else
            close:Play()    
        end
        wait(0.1)
        -- close
    end
end

local function close(hit)
    close:Play()
end

script.Parent.Touched:Connect(touch)
script.Parent.Hitbox2.Touched:Connect(close)