This MBA candidate had some questions.
1) how did the learn about the unobtanium? How was the research conducted and who owned the original research? These questions lead up to the formation of the firm: was it formed to puruse a known opportunity, or to discover opportunities and then act on them? I can envision a future where observational space exploration is privatized and information is sold off to investors. Imagine, if you will, a ratings agency for extra-solar space exploration. Alpha Centauri could be AAA rated. Epsilon Eridani, not so much.
2) is the corporation the only human agency on Pandora? it seems to me that in real life there would be some small state actors, and possibly competitors. James Cameron always depicts corporations as monolithic entities fueled by greed. He doesn't seem to realize that firms - even monopolistic firms - compete with one another, and typically operate in a regulated environment.
3) The firm behind Pandora's exploration is clearly incorporated; reference is made to answer to shareholders. What is their capital structure? Colonizing a planet that takes several years to get to, let alone return from, is a capital-intensive project that will not generate returns for many years. Real-life examples that come to mind would be telecommunications and power companies. Perhaps warrants, convertibles, and other special instruments were used to fund the company.
4) Clearly the humans have been involved on Pandora for quite some time. They have had time to study the native biology, build schools, teach them English, and (presumably) develop mining operations outside of the scope of the film.
OK, so that last one isn't a question, it's just an observation.