<human>: Can you condense the text into a few key points?

Be sure to explain in detail with line breaks.
About 2 years ago my wife and I got married. Months before that I kicked out my friend of about 12 years of knowing due to an altercation of him telling a fib to his ex which is my wife's best friend. He had told her that I cheated on her which I hadn't. We discussed this and I told him what I knew he had said to which he denied. I told him it would be best to be out of my wedding because I believed it would be best to make it my wife's best day of her life with no controversy. I recently see myself with very limited friends and wanted to at least reach out and say maybe it wasn't the best move (to which it may have been), but he was always nice in front of me. How would one go about saying something to him?

A little preface is I knew he was always a little judgmental by telling me stuff he hated about our mutual friends behind there back to me. Which I knew he had to of said stuff he hated I did to them by the way he acted. So that is about how I think he is. He could have changed who knows. But how or should I say sorry lets be friends again? Friends are a dime a dozen because I cannot find any anymore. I have 1 good friend that I hang out with and no more.
<bot>: friend and I been friends for 13+ years and he thought I was cheating on my soon to be wife, which I wasn't. How or should I mend fences? I don't have many friends...