1. The mischievous boy (fought) with another boy in class in the last period. (I think that "was fighting" could be an optional answer, but the teacher told my child that fought is the only acceptable answer) I don't see anything grammatically wrong with the progressive.
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Awenceplease give your guidanceIn all three cases, both the teacher's responses and your suggested alternatives are possible. The only thing that might change my opinion about this is seeing the original instructions given for the exercise. As Avangi says, without that we can't be sure.
AwenceSo I do not see why "would repair" is forbidden in this context.I don't think that anyone said it was "fobidden."