Hagrid: Allowed to use Wands and Magic...?

[Verin Haley <lunalarea@hotmail.com>]

No: HPFGUIDX 53050

<Aldrea>
So, it seems Hagrid, upon being expelled, was not allowed to do magic
OR to use a wand.  We know Underaged Wizards can't do magic, so I'm
guessing that might go to Unqualified Wizards, as well (but then why
doesn't Hagrid get letters about using them, maybe it's just cause he
doesn't have a school that will expel him for it)?

<Verin>
My understanding of this has always been there's two qualifications,
underage and unqualified.  People under seventeen are underage but, if
they attend a school for magic, will presumably become qualified. 
Hagrid was expelled before he could become qualified, so is prohibited
from doing magic.

<Aldrea>
If you don't graduate a Magic school, maybe you're not allowed to have
a wand/do magic?

<Verin>
I've heard the OWLs and NEWTs compared to the British GCSE and A
levels, respectively.  Apparently, some students leave school after
completing the GCSEs.  I wondered if the OWLs didn't work like that. 
A student at Hogwarts could leave school after fifth year, having
successfully completed his or her OWLs, but still be unable to legally
use magic until s/he turned seventeen (underage but qualified).

<Aldrea>
Or, maybe, that just applies to Hagrid since he was suspected of
opening the Chamber of Secrets and such.

<Verin>
Quite possible.  Either he isn't allowed to use magic because he's
unqualified (and no magical institution would admit him after he
"opened" the Chamber of Secrets) or he isn't allowed to directly
*because* he opened the Chamber.  It could be a lingering form of
probation, so to speak.

That brings up the interesting question of whether he was officially
cleared of opening the Chamber the first time?  There is potentially
evidence to do it, like Tom Riddle's diary, Harry and Ginny's
testimony, and the necessity of being a parselmouth to open the
Chamber.  However, Fudge doesn't seem like the type to easily give
Hagrid the benefit of the doubt or listen to Dumbledore about *this*,
either.

If he was cleared, though, could he use an adult education course
(like Kwikspell, for example) to receive his magical education and
become "qualified"?

-Verin