Why can my Gui still pop up after leaving the area?

I'm making a gui for a npc and when you get close you can press e to open it. It works fine at first but after the first time of leaving the area you can still press e to open the gui! I'm dealing with a local script under StarterPlayerScripts:

 local uis = game:GetService("UserInputService")
local RegionDetector = require(script.RegionDetector)

local NpcRange = RegionDetector:NewRegion(workspace.Tim.HumanoidRootPart.Position, 20)

function NpcRange.EnteredRegion()

workspace.E.BillboardGui.Enabled = true

    print("Player has entered the region")
    local InputConnection
        uis.InputBegan:Connect(function(input, gP) if not gP then
    if input.UserInputType.Name == "Keyboard" and
         input.KeyCode.Name == "E" then
    game.Players.LocalPlayer.PlayerGui.TimGui.Frame.Visible = true



end

    end
end)


end


function NpcRange.LeftRegion()
    workspace.E.BillboardGui.Enabled = false
    game.Players.LocalPlayer.PlayerGui.TimGui.Frame.Visible = false
    game.Players.LocalPlayer.PlayerGui.TimGui.ScrollingFrame.Visible = false
    print("Player has left the region")
end

Anyways to make the UserInputService go away then come back when you step in? I also have a module script under the local script but it just deals with the areas of the npc.