It happened during the day and the battery was over 50% charged. I recharged it and during the charge the red led light also did not show up. Any suggestions?
My standard recommendation for any phone that's still in warranty - which a 2 month old phone is. Bring it back and ask for help. That's what the warranty is for. (If it is a bad battery, and they won't replace it for free, an LG OEM battery for the G3 is about $20 on Amazon, so don't get ripped off.