How can I delete all empty folders older than 2 days?

I am creating a Script that removes all empty folders with subfolders in the path. Now I have to do, if the folder was created 2 days ago, and its empty, it should be deleted along with other empty folders older than 2 days. And if not, it shouldn't be deleted. And I also need / need to make this remote folder get logged. I did it with 5 Filetypes, but I don't know how this would work with folders.

I'm really new to Batch so I don't know what I should be doing. I checked Google, but the results didn't match my problem. Hope someone can help me.

Here is my code that I have written so far:

@echo off

::start path / Variables
set startdir="C:\Users" 
::Initialize the Variable
set /a loop=0
::Directory c:\temp\ will be created, if the folder not exists 
if not exist c:\temp\ md c:\temp\
::Create Logfile for Deleted Filetypes in C:\Log\LOG_Useless_File_Killer.txt
echo ----------------------------------- >> C:\Log\LOG_Useless_File_Killer.txt
echo Logfile from: %date% at %time% >> C:\Log\LOG_Useless_File_Killer.txt
echo. >> C:\Log\LOG_Useless_File_Killer.txt
::this 5 Filetypes are going to be deleted immediately
del C:\Users\Thumbs.db /f /q /s >> C:\Log\LOG_Useless_File_Killer.txt
del C:\Users\desktop.ini /f /q /s >> C:\Log\LOG_Useless_File_Killer.txt 
del C:\Users\*.DS_Store /f /q /s >> C:\Log\LOG_Useless_File_Killer.txt 
del C:\Users\*._DS_Store /f /q /s >> C:\Log\LOG_Useless_File_Killer.txt 
del C:\Users\*.desktop /f /q /s >> C:\Log\LOG_Useless_File_Killer.txt 
::Writes the directorys in c:\temp\tmp.txt. 
dir /AD /b /s %startdir% > c:\temp\tmp.txt
::at goto start it will be start again
:start
::the Variable %loop% is increased by 1  
set /a loop =%loop%+1
::at 5 --> goto exit
if %loop%==5 goto exit
::Under 5 --> goto start 
else goto start
::deletes every empty folder which is written in C:\temp\tmp.txt
for /F "delims=" %%i in (c:\temp\tmp.txt) do rd "%%i" 
::--> goto start and begins again 
goto start
::%loop% has reached 5 --> exit
:exit
::Console window will be closed 
exit

pause 

exit