The .380 is one of my favorite guns, because it is the closest .380 to a 1911, externally and internally. None of the Colt .380's, or the Sig P238 is anywhere close to be as much like a 1911 as the humble Llama.
That said, you can use most info to troubleshoot it as you would a 1911, with one glaring difference. The Llama has an external extractor while the 1911 has an internal extractor.
I haven't tweaked a 1911 with an external extractor, but it should be the same MO. If the extractor is not catching the rim, and not holding some sideways pressure against it, the system will not pull the case out all the way all the time.
I do not know if that is your problem or not. The ejector is basically identical, but if it's broken off at the working end you get stovepipes and other failures.