Not in Arena, it doesn’t. +5 from the class weapon bonus, yes. +2 from the perk, nope.
Indeed. ^^
YES! I WILL. =)
Last but not least:
Not exactly. The sudden boost to Magic for some weapons is simply from what I explained in the linked thread:
I would of course encourage you guys to read the rest of my essay and eventual acceptance of this new phase in the Arena in the other thread. But if tl;dr, I’ll just leave you with this: