Why is there no indication that it is receiving power?

yes, it is an indicator that power is applied to freezer, if is off and you have power in the rest of your house, go check freezer.

One of these is a power light. It typically remains on while the freezer is in use. No light means either a blown bulb or no power. The other is associated with the thermostat. But it does NOT indicate that freezer temperature is appropriate. Flickering appears to indicate the bulbs are simply failing. The bulbs are neon, I think, and are not cheap. Some might try replacing such with LEDs. I have seen comment that the bulbs are not long lasting. www.manualslib.com has numerous danby freezer manuals but I do not know your model. Have a look.

If compressor isn’t running, it’s either a thermostat / control board problem, or a power supply problem.

If you are talking about an external light, it is most likely a neon indicator light that tells whether you have lost power to the unit. Blinking is normal with age or power fluctuations.

I’m happy to assist further over the phone at https://www.6ya.com/expert/david_dc2f9e0a44104720

led's become weak over time. it is only an indicator that the power is on. Leave well alone!

If it is still freezing, you just have a bad indicator light, which is pretty normal. You could get a replacement at Radio Shack.

what is model number. Always give model number so you can receive correct help.

The orange light is usually just an indicator there is power going to it. If it goes out, you have a power problem (tripped breaker or something)

how hot is the compressor? a very warm to hot compressor indicate dirty coils or lack of refrigerant

Check the power to the lights and replace if burned.
You also can check the door switch.
 It may be stuck or broken.