This is a Pearson sentence ( https://www.duolingo.com/comment/24066422 ).

For some reason, some of the alternatives list "Luke, Lucas, Lucas" as three options rather than "Luke, Lukas, Lucas". It seems like a mistake to me.

Report it if you'd like.

No, not the same.

Menschen has a short e in the first syllable and Mädchen a long ä; also, n and d sound different as do sch and ch (at least in the standard language).