2 Events not firing in a local script?

You can't use FireServer() inside a local script. I recommend reading this as it'll help you understand what i'm talking about better.

-- Local script

local ToolName = "TestTool"
local rs  = game:GetService("ReplicatedStorage")
local backpackRemote = rs.Remotes:WaitForChild("playerBackpack")

game.Players.PlayerAdded:Connect(function(player)
    player.CharacterAdded:Connect(function(char)
        while wait() do
            local tools = player.Backpack:GetChildren()
            local backpack = player.Backpack
            if 1 == 1 then
                warn(backpackRemote.."Fired")
                backpackRemote:FireClient(player,char,tools,backpack)
            end
        end

    end)

end)

I replaced FireServer() with FireClient() and put player inside the parameters which will let the script know the player that the remove event is being fired to. I hope this helps.