Sounds like you have either an LG G2 or G3, maybe a Vista.  If you have not factory reset since the Lollipop update and given your issues you might try this.

The following process has helped many, maybe you can benefit from this as well.  I know you don't WANT to FDR, but if you haven't already, this might be a NEED to operation.

Plug into charger for the entire process

(DISABLE google backup and restore of apps and app data)

Charge to 100% and back up and factory reset the phone

Factory reset one more time

Unplug from charger

Set up your phone

Leave phone on until it dies and turns off 1 time

Leave off and recharge to 100%

This is my usual process and I have had no issues.