Yup copper is deadly. This is why its essential to NEVER allow water from your lfs to enter your tank as they usually dose their systems with copper, (not to mention you have no idea how good their water really is).
It does sound to me more like a problem with water than light. Lighting would not kill shrimps for example. If the lighting was not right then the corals would die off gradually not quickly as has been indicated.
What i have been considering is that you might have had a PH swing that was detrimental to your system. With such a small amount of water it would not take long for a PH swing to take effect. This could easily have happened in your absence in such a small tank, the livestock died through the shock of PH and before you returned the PH could have returned to normal and you would be none the wiser.
For example, at night the PH usually drops as any algae inthe system releases CO2 rather than oxygen. In large quantities it can be deadly to the fish etc. Many people that run sumps keep algae in here and leave the lights on in the sump 24/7 so they never release CO2 and this helps keep the PH stable during the night.
Do you dose the tank with Iodine? Shrimps need iodine or they can die when trying to shed their skins. It probably isnt the case in this situation but might be worth investigating.
Tank temperature? does the temperature drop or rise more than 4 degrees during hte day/night? this also can cause undue stress.
What is the KH of the tank? this also can be very important to healthly inverts inthe tank.
A small tank with such a tiny amount of water can change its water perameters within just a few hours and leave you with a total wipeout. Nanos are very tricky to keep balanced and thus why i always maintain that they are really not a beginners tank