Awesome Blow is a special combat maneuver roll granted by the feat.
From performing a combat maneuver in the Core Rules we know that we "Add any bonuses you currently have on attack rolls due to spells, feats, and other effects. These bonuses must be applicable to the weapon or attack used to perform the maneuver."
The enhancement bonus for the amulet certainly would apply as long as it is applicable to the weapon or attack used to perform the awesome blow. This isn't going to be defined anywhere, but I can't imagine a really good argument that it wouldn't.
So yes.