뽑기 is not around so much any more in Korea, but back in the 70s and the 80s, this was like the cheapest type of sweet snack that people could see, make or eat on the street - it's really cheap because it's just made of plain sugar on a plain steel plate.
So as to your questions,
1) Does it taste similar to fortune cookies?
- No... they are just made with sugar and some soda power.
2) Are there special times when you eat it?
- Not really ^^ just anytime. hehe. but people don't usually eat it often. Hehe.
3) Are there always shapes impressed onto them?
- yes, usually. and the 아저씨 selling them would tell kids to try and split the 뽑기 with bare hands and get the shape out of it intact, and if they suceed he wouldn't charge for the 뽑기, but as you can imagine it's extremely difficult. Hehe.
You can still see them around primary school areas.
Maybe everyone in the age of 3~40s has the memory of making 뽑기 I guess.
And of course the memory of punishment from their Moms as well because they had burned 국자 or 남비 by making it.
That picture recall my memory.^^
We used to call that "똥과자" which means literally “***CENSORED***(?) snack” but not badly. Because It has the same color with ***CENSORED***(?) as you can see. Taste is so good. Sweet!!
I have had a special memory of this.
There is some shapes (heart, star, or something) on this snack like stamp.
If you completely carve that shape (the heart) by a small pin, you will get new one for free.(should be patient to succeed it.^^;;;)
(It’s difficult, though. I did succeed few times.)
But it’s old story. I don’t think they do that now.