Did you figure this out?
So, just curious, do you have a multimeter? That would tell you the voltage on the battery. Possible they forgot to fill it and sold you a dry battery.
You would also be able to tell if the alternator is charging when its running on the jump pack.
I have not had a chance to read up on 3rd gen alternators, but I assume they need need a certain amount of voltage to establish the magnetic field that creates the current when the alternator spins, which is why it won't run on a dead battery and you can't get it running and then pull the battery like in the good old days.
Multimeters are so cheap and have so many uses, I can't imagine not having one.