does it have auto set?
No, it does not.
Does it have Battery back up and an alarm?
can you change the led color?
It has battery backup (per the features).
It does not have an alarm.
You can’t change the color of the LED.
I bought two of these with a previous Woot and love them. They don’t auto set or auto adjust for DST, but at 60 years old they do something most clocks do not do - I can read the time without my glasses on!!!
I am in for 3 more.