Mike - the box is built into the case - my 28K has a similar setup in the case. I believe the puzzle box was a USA thing- and "K" machines came with different attachments and containers.
The claw thing - not sure what it is, other than it it's not a Singer regular attachment. The others are, and I have some like that. The binder is clamped on to the foot they work with, very similar to the puzzle box but with a diffrernt attachment method.
That claw looks like it may be a drafting tool - based on teh size it may fit a pencil, and it looks like the claw could be extended and tightened down for drawing circles. Drafting tools of that nature are a rather common addition to sewing items.