I would want to know he was clear if we were to try to repair this mess, and as he isn't willing to admit that what he put in his letter actually happened (ie PA) I think it is only right for me to make sure myself and my kids are safe.
As for if the A or lies are a deal breaker, I just don't know right now - if there was just me I think it probably would be to be honest, but I have two small children to consider too....such a mess.