You just like to make things up to fit your narrative don't you? Miami controlled the game in the second half? How? Here are their drives in the second half:
3 and out, punt
8 plays, 50 yards FG
3 and out, Punt
6 plays that netted them 4 yard, punt
10 plays, 52 yards, game ended
If they were playing to protect the lead, they would have ran a conservative offense trying to grind out the clock. Two three and outs and a six play drive that nets 4 yards says the opposite. They were trying to score. They were not playing to protect the lead.
And the Agholor fumble was on a good drive by the Patriots (they picked up 57 yards on 5 plays). That drive could have brought them within six points if they completed the drive. But this goes against, the game was over narrative.