1. If I'm holding the empty gun in my hand with the slide closed and the hammer uncocked, a full stroke of the trigger will activate the hammer in DAO mode.
Not to start another pissing match. But this would be Double-Action mode, not DAO (Double-Action Only).
The way it sounds, your gun is DA/SA (Functions in both Double-Action and Single-Action mode) and not DAO (Only functions in Double-Action).