Barbie Head Repair Hook

My kids were playing and broke the head off of one of their Barbies. I searched the web and ran across what the original pin looked like for inspiration (Pic attached from here: http://babes-in-toyland.blogspot.com/2013/10/How2-behead-babs-well.html). I noticed that the bar that went through the loop was broken, so I used a dremel to clean out the neck hole a bit and designed this peg to slide down into it. I printed the part in 2 halves and glued them together and then glued the peg into the Ba