Cannot charge Xperia Z3 Compact I have a 3 week old Sony Xperia Z3 Compact (D5833). However, it suddenly turned off and refused to charge.

The phone was at ~10% charge before I plugged it in using the cable and adapter that came with the phone. I didn't notice that the charger light didn't light up because I was busy. Half an hour later, I noticed, and the phone refused to power on and also was unable to be charged.

I've attempted to follow the FAQs located on the Sony Support website:
(Main Page --> Z3 Compact --> Troubleshoot --> I cannot power on my device) and
(Main Page --> Z3 Compact --> Troubleshoot --> The phone doesn't seem to charge) but to no avail.

Is there anyone out there who can help?

Thanks in advance.
Sounds like a loose connection and/or hardware issue. 

If you fiddle about with the cable in the port and the light comes on, it could indicate that the cable is potentially faulty, else, if it's only around three weeks old, can you not send it back and get a replacement under faulty/warranty terms?