As to question 1: I do have a german speaking background, so please excuse the source actually is in german:
There is a really nice journal called Wurzel, the german word for "square root". In there, Attila Furdek has a section called "Schlaue Leute werden durch die Fehler von anderen klug" (trans. "Clever people become wise through the mistakes of others"). The structure of the tasks is always the same: The Problem is posed, along with two or more answers, all getting to a different conclusion. The question then is, which solution is correct and why. Sample problems can be accessed online, Attila Furdek also collected the problems along with solutions in a book.
The way to get these questions is similar to the way distractors for multiple choice questions are generated: Furdek would collect his students work to a problem. If there are different solutions among them, he would pick two or three different solutions ans give them back to the class, together with the question which one would be the correct one and why.
This way, the different alternatives are actual mistakes, which makes the problems very authentic.
I used translations of the book in my own classes, but more over, collected my students solutions in order to use the same style of task.
On question 2: I have to admit, I haven't "Google scholared" this topic as I should. My experiential knowledge is, that this type of task, put right, can be a great learning opportunity. Similar to tasks using concept cartoons, it stimulates classroom discussions not only about the "what" and the "how", but also the "why" of a solution. This way, I've the impression my students were less relying on "solutions from the book" and went towards more confidence in their answers. Opposite of the worries of DRF (see comments), in my experience this tasks did not reinforce wrong procedures, to the contrary, they helped my students a lot in "making sense" of what they do.
Much in the sense of a saying by Groucho Marx: "Learn from the mistakes of others. You can never live long enough to make them all yourself."