Upgrading from Lync server 2010 to 2013 should now be complete.
Now to remove Lync 2010 components from the old server do the following:
1. Run Lync Server 2010 – Deployment Wizard on the Lync2010 server and go to “Install or Update Lync Server System”.
2. Click “Run” button under STEP2 Section which is “Setup or Remove Lync Server Components”.
3. Once the setup is run it will remove all Lync Services from the Standard Edition server.
4. Now from Add/Remove programs remove SQL Server, when prompted first remove RTC Database and then re-run the SQL uninstallation wizard to remove RTCLOCAL Database.
Now we are done and thanks to Kjetil Lindløkken for the help to figure out the last stuff to get this all done.