The shank, otherwise known as the shaft of a crochet hook is what determines the size of your hook. Essentially, a 3mm crochet hook has a 3mm shank/shaft.
The "pencil hold," one of the two most common crochet hook holding techniques, is shown in the picture below.
Yes, that image below depicts a Tunisian crochet hook! Although I haven't tried Tunisian crochet yet, I would really like to someday.
This was a bit of a trick question, though, because I've seen designers use two chains for the turning chain in a lot of patterns. In reality, though, two chains work best for a half double crochet, or half treble in the UK, and three chains work best for a double crochet stitch.
Several names exist for the magic circle, one of which is the Magic Loop. Fun fact: The Magic Ring is another name for it.
For this question, Skein is the right response. Online articles about the various methods used to wind yarn abound; in fact, there are far more than just the three methods—skein, ball, and hank.
If you figured this one out, you must be an expert crocheter! I am by no means an expert crocheter, and I only recently learned this technique. A really clever method for joining two strands of yarn from two separate balls of yarn is the Magic Knot.