It's done, it's over with, you've reconnected. You've apologized for your part and he sweetly accepted your apology.

Hopefully the two of you find a rhythm to this LDR.

Give yourself a pat on the back for the reconnection.

My suggestion, keep yourself busy. Maintain your friendships and social outlets. Focusing on work, yep.

It takes time to truly believe in the notion of the not "searching for another" aspect, I won't sugar coat that, whatsoever. It will take time with his actions not his words, therefore not much point in bringing up such a discussion more than say once...down the road after some weeks pass and maybe subtle statement of your bringing such reassurance in his direction.

Compliment the positive qualities of the relationship that bring you satisfaction. I don't really have a guidebook or all the answers for you, I am bringing personal perspective as I'm reflecting on a very recent conversation that I had with my friend. A friend that requires boarding a plane to see....sayin'...

I figure you've known your friend for a long enough time that such conversations aren't too soon...