If he apologized to everyone but you, maybe say "I heard you apologized to some people about last week's tension, I just wanted to let you know that we're all on the same team and there's no hard feelings, your concerns are valid and we'll work on them together".
Your reaction shouldn't be fear and extra stress. It should be about how you can help your fellow workers through the day and help everyone meet their goals. The whole idea that you'd have fear as a response to a co-worker is crazy to me.
If you can't have that type of conversation with your co-workers and get good results, it's probably not because you employed the wrong conversation tactic. It's probably actually because they don't trust you, which would make sense if you've been forcing them through a conversation algorithm instead of treating them like humans.