Yes, that's what I'm showing there, the spoon shape may look simple but I think without the Silhouette tool it would take you a lot more steps to establish the correct parting line.
Yep, that's the parting face, you've got the idea, the only thing I did was to smooth out the area shown in the picture, there is sort of a kink in this area resulting from the offset, this is not nice for mould makers in regards to machining the face and fitting afterward so I refined this area a little to get more of a smoother surface that follows the spoon shape.
I've attached that part of the surface with a refined version for you to have a look.