Any of the remote start procedures is only gonna cause the vehicle to run for 10 minutes and then it will shut down. The only reliable way is to start the vehicle, power off any unnecessary things like headlights, air, conditioners, stereos, and then get out of the car and lock it with the key. In this manner, it could run for ever off the battery and only start up as needed to charge the battery. using the 2400 inverter, you could power a refrigerator and other items in the back. You could also power things in your house during a power outage, using an extension cord out the back.
For more information I refer you to that thing called the Manual that no one ever reads