Good advice above. Go buy 4 boxes of different kinds of .380 BALL ammo; this should be the easiest to load into the chamber. Examples are Federal, Speer, Blazer, etc. - brass cases only. If you have problems, remove the "unbreechable" bullets and examine the bullets as well as their cases - look for dents, dings, etc.
Have you removed the barrel and carefully examined it for burrs using a flashlight? If you have problems after this experiment, call customer service and let them send you a label to return it for inspection. Make sure your BG 2.0 is absolutely clean before this test firing, and run a brass barrel brush through it with a good solvent to make sure it's clean. It will give some strength to you case.
Good luck and please write a follow-up post here to let us know.
Rich