Yes, this is an exception to the usual maximum.

Yes, except for magic weapons or where the description of the item or spell specifically says otherwise.

Most weapons, including magic weapons, state when the bonus is given. For example, a model with the Fencer's Blades will always have Weapon Skill 10 whilst a model with a great weapon will only have +2 Strength when striking an enemy in close combat. When a weapon does not say when the characteristic bonus applies, then it only applies when striking, or being struck, in close combat.