A 043 No.From Player's Handbook on page 170:Originally Posted by Mineralize WarriorA restrained subject cannot manipulate the required material component, nor can they touch themselves specifically as part of the casting. It's not just the somatic components that are an impediment to casting Mineralize Warrior on yourself. The highlighted restriction applies as stated.To cast a spell, you must be able to speak (if the spell has a verbal component), gesture (if it has a somatic component), and manipulate the material components or focus (if any).
A 045 Yes.
D&D 3.5 removed handedness except as an appearance factor, so your "off hand" attack doesn't have to be taken with a particular hand, or any hand.