You guys have it, more or less.
It's not a "fan film," no. It's a fairly ambitious short film being shot on an extremely limited budget (our tongue-in-cheek motto is "ten pounds of potatoes in a five-pound sack") by volunteers many of whom have worked primarily on fan films in the past. We're trying to leverage what we've learned and the various improvisations we've come up with on fan films to do something original (in the sense,at least, of not being derived directly from an existing property).
And yeah, it belongs to us - we have at least the possibility of recouping our investment, since no IP lawyers from the studios have any reason to get involved.