AH is a pathological liar and yet accuses me any chance he can of lying.
Something to know/remember about narcissists/sociopaths is that they show their cards very easily. You hear "mirror" analogies all the time when researching these behavior patterns. He wants you to be his mirror, and reflect all the wonderful things he believes about himself back at him. If you won't be his mirror, he wants to break the mirror. Since he can't do that, he will ascribe every bad characteristic he knows about the world onto you. But the thing about narcissists is that the only thing they know is themselves.
So if he's accusing you of lying, you can be sure he's lying. You can be confident in that. Don't bother trying to figure him out or anticipate what's coming. He'll reveal himself eventually and it will be just as mean, absurd, and crazy as the last thing.
I firmly believe that anything build on lies will eventually fall apart. You've got to be deft with the truth in this situation, especially if he thinks he's got anything real on you (like the arrest), but honesty and bravery are what will carry you.