GoPro HERO3+ Black Edition has problem with battery pack?

with the battery bacpac connected;

when its charged, there is no problem.

but when completely discharged (camera battery still has charge), when i turn it off :

1. it turns off, after a few seconds turns on by itself. doesn't happen once. i keep turning it off many times. its so frustrating.

OR

2. just 2 of the LEDs blink. those on bottom and back, and they blink weakly, like they're not getting enough power. and the display screen kinda blinks too... its like off, but gets dark and bright.... :\ strange.

any help?