In MoS, he does kill a lot of people, yes. In BvS, not counting the MoS flashback stuff at the start, the killcount for Supes is: 0.
And the terrorist guy at the beginning, and yes they do specify that he died
Wait, didn’t Supes deny that he was responsible for any deaths that occurred in Africa and maintained he was being framed?
Well they accused him of instigating the terrorist which caused them to attack the village so I assume they refer to that