How do I get multiple data from an array that is within a ModuleScript to another separate script?

Context

This is my second day of using ModuleScripts, so I have not fully understood the concepts of ModuleScripts, but I know what ModuleScripts are used for and how to use them in basic situations.

I have a ModuleScript and a Script in ServerScriptService, a LocalScript and a Frame with a bunch of TextLabels in a ScreenGui which is in a StarterGui, and a RemoteEvent located in ReplicatedStorage.

I also have a folder that duplicates itself to a player when they join the game. The original location of this folder is in ServerStorage. I'll refer this as the PlayerFolder. The PlayerFolder has a bunch of values and within each value has another bunch of values.

Desired Process

What I wanted this whole process to do is the following (in chronological order): -Pressing [K] will fire Function A from the LocalScript. -Upon firing Function A, it will fire a RemoteEvent to the server. -The Script will recognize the RemoteEvent being fired and will fire Function B. -Upon firing Function B, the values from the PlayerFolder will be replaced with their respective data from the specified array within the ModuleScript. -The TextLabels will change their display text based off the values in the PlayerFolder.

The problem is when I set a variable to locate one of the arrays within the ModuleScript, the value of the location is set to nil. Here's what I have:

-- LocalScript in ScreenGui

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

function A()
    RemoteEvent:FireServer()
    --additional irrelevant code
end

function OnKeyPress(InputObject, GameProcessedEvent)
    if InputObject.KeyCode == K then
        Function A()
        --make gui visible code
    end
end

game:GetService("UserInputService").InputBegan:connect(OnKeyPress)

==========

-- Script in ServerScriptService

local RemoteEvent = ReplicatedStorage.RemoteEvent
local ModuleScript = require(game:GetService("ServerScriptService").ModuleScript)

function Function B(player)

    local PlayerFolder = player.PlayerFolder
    local Value01 = PlayerFolder["01"] --mouse
    local Value02 = PlayerFolder["02"] --cat
    local Value03 = PlayerFolder["03"] --owner

    local Data01 = ModuleScript[Value01.Value]
    local Data02 = ModuleScript[Value02.Value]
    local Data03 = ModuleScript[Value03.Value]

    --Slot 1
    Value01.Value = Data01
    Value01.ValueName.Value = Data01[1]
    Value01.ValueType.Value = Data01[2]
    --Slot 2
    Value02.Value = Data02
    Value02.ValueName.Value = Data02[1]
    Value02.ValueType.Value = Data02[2]
    --Slot 3
    Value03.Value = Data03
    Value03.ValueName.Value = Data03[1]
    Value03.ValueType.Value = Data03[2]

end

RemoteEvent.OnServerEvent:Connect(B)

==========

-- ModuleScript in ServerScriptService

local module = {

    mouse = {"the mouse", "25"};
    cat = {"sad cat", "52"};
    owner = {"mr owner", "100"};

}

return module

Error in output:

11:25:56.445 - ServerScriptService.Script:19: attempt to index local 'Data01' (a nil value)

May anyone let me know what I've done wrong? I'll be happy to provide more information upon request.