Preface: Obviously I'm not making any 100% claims. Nothing is impossible, someday, etc etc
1) Ok, I was generalizing for the sake of brevity. Agree that there isn't a consensus, but it's pretty safe to say that it is somewhere between "your brain" and "everything".
2) To do this, you would also have to effectively freeze all the other neurons in your brain. Neurons don't operate in isolation. If you remove one from the network, the rest start (ever so slightly) re-adjusting weights, synapses, dendritic arbors, etc. So I suppose if you could put someone into a hibernation where their neurons were effectively frozen, this may be possible. Ignoring the invasiveness aspect too.
3) I suppose this boils into a big argument about what intelligence actually is, and I don't want to start an internet argument about that. Suffice to say, no one really has any idea how to define or quantify intelligence. How do you improve intelligence? It certainly isn't the addition of more knowledge (although that helps you become effectively more intelligent, since you can stand on the shoulders of those before you). If you take my brain and speed it up so I can do the same thing but faster, am I more intelligent? I don't have a good answer to that.
Perhaps hyper intelligence is nothing more than being able to think intelligently really really fast.