The Chamber of Questions: Talking to the Basilisk...

A couple of questions that came to mind as I finished re-reading The Chamber of Secrets:

1. What would have happened if Harry had spoken to the Basilisk in Parseltongue, telling the giant snake not to attack him, to go to sleep, to take up knitting?

2. Since Hagrid has now been completely cleared of opening up the Chamber of Secrets and causing the death of Myrtle 50 years before, why does he not buy a new wand and take private training to become a fully qualified wizard?

I have often wondered about what the Basilisk would have done had Harry started to give it orders in Parseltongue. Clearly, Tom Riddle has control over it, thanks to his mastery of the serpent language, but wouldn't that mean that Harry, also a Parselmouth, could give it commands as well? It's not like Tom Riddle has spent a lot of time developing a relationship with the Basilisk. Could Harry not have at least confused it by countermanding Riddle's orders and substituting some of his own?

It raises the question of whether the ability to speak Parseltongue gives a person control over snakes or simply the power to speak to them. In Harry's first encounter with a snake, at the beginning of Book One, Harry has a conversation in Parseltongue with the Boa Constrictor in the zoo. Harry doesn't give it orders; he simply chats with it.

In his second encounter with a snake, however, Harry orders the snake Draco Malfo conjures not to attack Justin and it immediately obeys him. All Harry has to say is 'Leave him!' and, to quote JK, "miraculously -- inexplicably -- the snake slumped to the floor, docile as a thick black garden hose, its eyes now on Harry."

So what would have happened if Harry had said to the Basilisk, "Lie down", or "Leave me alone", or perhaps "Kill Tom Riddle"? Would the Basilisk have responded? Would it have become confused by being given orders by two different people, such that Harry could have escaped?

It's a wonder Harry didn't try to speak to the Basilisk at all.

With regard to Hagrid, it is one of the main pillars of Hagrid's backstory that he was expelled from Hogwarts while he was still young and, further, that his expulsion led to his wand being broken in half such that he could no longer perform magic properly.

We learn in The Chamber of Secrets, of course, that Hagrid was expelled because he was suspected of having opened the Chamber and letting loose the monster within.

Thanks to Dumbledore, he is allowed to remain at the school as the keeper of keys and grounds. But he is not a wizard, nor is he permitted to carry or use a wand.

So, now that Harry has proven that Hagrid is an innocent victim of Tom Riddle's treachery, why would Hagrid not immediately return to training to be a wizard? Why at least would he not buy a new wand and get back to doing magic properly?

I know it would change a great deal in the last five books but it's always bothered me. The man was cleared of the crime: why does he still have to be subject to one aspect of the punishment for that crime?

Did I miss something along the way? Is there any explanation at all for this in the final five Harry Potter novels?