Hi fairx
1. Separate power might improve SQ if one source is really lousy, but I doubt there is a measurable difference, I might be wrong though.
Just remember to make sure the ground is common between the DAC and the USB Host device you plug it into - you probably already have else it wouldn't enumerate/hand-shake.
2. I still haven't measured the current draw myself, but folks here have said it draws 320mA. It might pull a little more when switching on or when switching sample rate, but I wouldn't expect too much more. 500mA would be spec.
10400mAh / 320mA = 32 hours use, so plenty of power to run the DAC for a longish time before the power pack needs recharging.
The powerpack outputs a maximum of 2A (or 2000mA keeping the same unit naming) so way more than the DAC requires.
By these numbers, this is all safe and good.