I'm afraid not my friend...
RSLogix Micro Starter Lite Edition is the free version, but it will only program the MicroLogix 1000 and 1100.
You would need RSLogix Micro Starter Edition (9324-RLM0100ENE) minimum which can program the MicroLogix 1000, 1100, 1200, 1400 or 1500, but it is not free.
RSLogix Micro is basically the same as RSLogix 500, except the Micro Editions are locked down to the MicroLogix controllers only. RSLogix 500 can program all the MicroLogix controllers plus the SLC controllers.
You could request a quote for this product (9324-RLM0100ENE) from your local Rockwell Automation vendor. It is relatively inexpensive as programming software goes.
Regards,
George