Anton, I've read some rules concnring sharing spells with the familiar and have spotted a few errors in the way you have handled it. The first is that you can't share touch spells, unless the target of the spell is you. This means you have to decide wether the hawk or you will hold the charge; not both.
See:
http://www.wizards.com/default.asp?x=dnd/rg/20050913a
Second is that the way the spell is described it isn't possible to flurry: one hand glows blue, and you can't flurry with just one hand. The extra attack from haste does grant the use of chill touch however, as would multiple attacks from having a high enough BAB.
Finally hawk has a reach of 0 ft which means Gwendol gets an AoO for every attack he makes. I suggest you decide what to do with Chill touch and adjust your actions accordingly, depending on the outcome I might want to change my actions as well.