Sounds like your power supply is blown. As your system is so new it might be covered under warranty. I would get to an Apple Store or authorized service center to get it fixed ASAP as I’m sure your coverage is about to expire! Even if its a few weeks out don’t dismiss it! Apple will let it slide,
But! You need to get them on a good day Tuesday mid morning it the best! The stress of the week end is over. Be polite don’t get angry! Be sad (maybe even a tear rolling down your cheek) but be firm! If you get no don’t settle ask to speak to a manager and if that fails talk to the regional service manager.
Let us know what happens. Good Luck!
In any case the power supply is not too hard to replace. Review the [guide|115210] We don’t have any discreet guide for it yet.