I believe typically a short story is classified as being under the 7,500 word count mark. I think things above that word count tend to get grouped in with novellas and novelettes. For this group's purposes short is also being classified as something that is only uploaded as a deviation in one part(as opposed to being uploaded in chapter segments).
No, it wouldn't in here in this group. I know a really good group for stories with chapter-segments is Nurturing-Narratives though! If you haven't seen their group yet you should go check them out.