I would definitely keep the Powerall, and return that inverter.
UNless you have a large carburated V8, or a diesel engine, it is Very capable to assist in jump starting, and if a smaller engine, it could even start the engine with the main battery disconnected, though I do not recommend doing this.
The powerall is not a large capacity battery though, its ability to jump start, does not give it magical properties regarding storage capacity.
I've no idea how many cycles you can actually use the powerall as a mini house battery before it would become ineffective in its ability to jump start the engine, and say you deplete it to 50%, or its capacity has depleted to just 50%, and you need it to jump start the engine, and it can't help you. These unknown variables would make me hesitant to rely on it for this purpose.
There are all sorts of strategies you can employ using the powerall. My personal preference, in a vehicle without a dedicated large house battery, would be to fully charge the powerall, and store it in the vehicle where it will remain fully charged and as cool as possible, not in the glove box which bakes in the sunlight. That way it will always be there to jump start your engine. I would then use the original, underhood engine battery to recharge the phone/tablet via a USB car charger plugged into the ciggy receptacle. While I despise Ciggy plug receptacles, they are OK for passing just 16 to 20 watts, anything under 40 watts, and they should be OK in most instances
http://www.amazon.com/s/ref=nb_sb_n...ias=automotive&field-keywords=usb+car+charger
Now the engine starting battery is not designed to be drawn down deeply, and will not last very long in this usage, if you actually draw it down deeply, however when it requires replacing, a marine battery is significantly more durable in this usage than a regular starting battery, and only slightly more expensive. Much depends non the size of the battery in your engine compartment, because marine batteries do not come in all sizes for an easy swap into every vehicle.
I brought up the UB12120 battery and the other product as the poor man's powerall. As an option for someone who does not own one and is looking for a different solution. It will weigh 15 times more, require it be wired up and fused, and a method determined for recharging it. So, it will be much less convenient than the Powerall which you already own, but it will have twice the electrical storage capacity of the powerall, and when the battery fails, it can be replaced, easily and cheaply.
The UB12120 battery is the battery which comes in many lead acid jumper packs. if it is fully charged and if one carries jumper cables to hook it to their engine battery, it can easily jump start a vehicle too, but the Lithium based powerall likely has the same jumping ability, perhaps even more, and all the convenience built in to that nice ergonomic package.
There is not a right and wrong way to approach this situation. How I would do it is not the only right way, just how I would approach the problem in your situation, given the limitations of the products involved as well as considering the unknowns, such as the Powerall's ability to retain capacity, and its ability to jump start when partially depleted, and or how much capacity has been compromised at the time it is needed for jump starting duties..
The Longevity of the Powerall when it is cycled deeply and often is an unknown. Unless I knew it to be robust and retain its capacity for a long time, I would not trust that it will have the jump starting ability when needed, and perhaps carrying it one might have false confidence in its ability to actually jump start the engine when most needed.
Now if you carry jumper cables and are in an area where someone can help you out, then no big deal, but if you are out in the boonies, goto to start your engine and hear the dreaded click click click of a dead engine starting battery, then bust out the Powerall, and find it cant jump start the engine, well then those jumper cables become useless until someone happens by and can help you, and the Powerall gave you a false confidence.