LG Fathom Won't Charge

I hope you can help because this is my only phone - so I can't call tech support.

I have a new LG-VS750 that Verizon set up for me today. When I left work, I had 2 bars and by the time I got home, there were none.

I plugged the phone into the charger and there is no red light to indicate that the phone is charging. I removed the battery and replaced it and still no indicator light. There is, however, an LG logo on the screen.

Should I keep it plugged in? Do you think the battery was so discharged that after a while it will "kick in" and begin charging?

Thank you so much for your help.

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~Have you tried different charger and or different sources:
Car charger; wall charger; USB charge via PC with PC plugged in tho the AC wall outlet.
~Does the phone power up normally while plugged in to AC and battery removed?
~Finally go to a Verizon service center, Radio Shack, or Best Buy and try a new charger and or battery.
They should let you try before you buy...

Thank you for responding so quickly. The phone is on now and the red "charging" indicator light is on. Now there is a black screen showing "Verizon Wireless". Is that a charging screen? Should I be able to get rid of it and make/receive phone calls while the phone is charging? As you can probably tell, I have no clue how this phone works and am in an area where none of the verizon stores are open - and ...... I have no working phone so I can't call.

Thanks for your help.