I am sure someone who has more knowledge then me will tune in but here is what I have got.
1. I think there is a faQ somewhere in this forumn that addresses this.
2. You have to have a Lower "designated at purchase" as a pistol if you are going to make a pistol out of it. That is to say you cannot legally take a rifle and make it into a pistol. However, later if you choose you can throw a stock on your pistol and make it a rifle. If you make a rifle out of your pistol, make sure the barrel is longer than 16". If the barrel is shorter than 16" on a rifle then you have a short barrel rifle that will need to be "stamping/registration" by the government.
3. Yes, if you take the stock off of an AR-15 it is a pistol by definition. However the Ar-15's are designed so they need the internal workings of the stock "the buffer" so people have several options for buffer designs (another faq in this forum).
"Is it the buffer tube design length? " I do not know what this means. But if you go the buffer faq thread posted above you can look at the many options for buffer tube lengths.
Hope this helps.