You're right, English questions often use 'did'. Where did you go? What did she do? When did they arrive? How did they come?
But it is very rare to use 'did' with 'who', unless you are using 'did' in its base meaning 'to do', rather than as an auxiliary verb: Who did that? (This is a correct question)
There is a very limited set of contexts where your sentence 2 would be correct. For example 'I wonder who did invent the telephone' with spoken emphasis on the word 'did'. And even in these contexts, sentence 3 would be perfectly OK.
Sentence 3 is the normal form of the question. I hope this helps.