As there is no built in alarm clock in OS X, like in IOS, is there any way to set alarm clock via automator (playlist in iTunes), when Mac is in sleep mode and login password is required?
There is an scheduler for sleeping and waking up OS X in
System Preferences >
Energy Saver >
Unlike the alarm in the iOS you can set timers in
Pause action. It will work even your Mac is asleep. Playing iTunes playlist does not require password for the running Automator workflow. You can make a workflow of pausing until your preferred time and then play your playlist. You should set the scheduler to wake up before the pause passed.
After starting the workflow you can sleep your Mac.