Trouble Finding Value from LocalPlayer in a ServerScript?

So I have made it so the LocalPlayer gets 3 values, the main one I am focusing on is "LastName"

So I made this script in a ServerScript for a belt that you can put on;

script.Parent.Text = game.Players.LocalPlayer.CharacterName.Value

This appears to not find the values value and put it on the text, I assume there is meant to be a different script solution as to this is a ServerScript and I have gotten reference on what to do from my LocalScripts that have the similar line of code.

If I need to clear anything up with confusion on what I am explaining please let me know.

You can use PlayerAdded as an alternative to LocalPlayer if you're using a server script.

game.Players.PlayerAdded:Connect(function(plr)
	script.Parent.Text = plr:WaitForChild("CharacterName").Value
end)

Or you can just use the plr.Name instead of the CharacterName to get the Player's name, unless if you are making something else.

Or, if the tag is a descendant of a player's character, then:

local Char = script.Parent.Parent.Parent -- // Assuming the TextLabel is a Child of a SurfaceGui or BillboardGui, then the Gui is a Child of the Character.
local plr = game.Players:GetPlayerFromCharacter(Char)

script.Parent.Text = plr:WaitForChild("CharacterName").Value

Hmm... think i understand what you're trying to do here. You're trying to get the players name for your server script to display it in your belt?

If so, I've written a little example on how you can use a RemoteEvent hooked up in a LocalScript inside the player and a server-side script that listens to that event...

Code:

ServerScript:

local Rs = game:GetService("ReplicatedStorage")
local REvent = Rs.RemoteEvent

REvent.OnServerEvent:Connect(function(player)
	print("Player[",player.Name,"] Has Called me!")
end)

Local Script: (using a tool to activate this event!..)

local Rs = game:GetService("ReplicatedStorage")
local REvent = Rs.RemoteEvent
local Tool = script.Parent

Tool.Activated:Connect(function() 
	REvent:FireServer()
end)

If you want to pass more than the player to your server side script you just add it like this:

ServerScript:

local Rs = game:GetService("ReplicatedStorage")
local REvent = Rs.RemoteEvent

REvent.OnServerEvent:Connect(function(player, Val1--[[,ETC...]])
	print("Player[",player.Name,"] Has Called me! \n Val1 is [",Val1,"]")
end)

Local Script: (using a tool to activate this event!..)

local Rs = game:GetService("ReplicatedStorage")
local REvent = Rs.RemoteEvent
local Tool = script.Parent

Tool.Activated:Connect(function() 
	REvent:FireServer("Test!"--[[,ETC...]])
end)

Hope this helps! :)