Based on Kate Bunting's comment:
We usually use on with dates and in with times of day. Because these two sentences include both, the issue isn't so clear-cut, and the different journalists have made different choices.
Because of that, the first sentence focuses on the date it happened, while the second one focuses on the time of day it happened.
I can imagine the first sentence coming from a police report giving a dry timeline of events, while I can see the second sentence coming from a novel where we experience Batista's flight in the early morning.
So, yes, the sentences would remain correct if "in" and "on" were swapped, but the focus would change.