Personally I would proceed with caution. He has behaved inappropriately at work in the past and caused you drama. You may feel bad by what you answered during the investigation but I don't feel amends are necessary. He did what he did, the investigators did what they did and you answered honestly.
My advice is to sit on your hands at coffee. Let him talk and see where the conversation goes. You do not know what his motive is yet and you sound like a lovely open, honest person.
Keep it professional and on topic.
That's my opinion anyway. Perhaps I'm a little over cautious. I am keeping my work life and recovery life completely separate.
Good luck.
S x
Edit to add: if it was a colleague I may think differently, but as he is above you in the management chain he may be more concerned about overturning any decisions that were made during the investigation.