Actaully DP said his training is in forensic psychology. IDK that he ever says i AM a psychologist. He's probably gotten pretty crafty at how he dresses himself up to avoid calling himself what he is.
As for the second point, I agree it was handled pretty badly by DP, but I would say in retrospect, DP may not have known exactly what kind of person he was dealing with until after MR showed his cards, so to speak. At that point DP might have thought ' if i knew yesterday what I know today about him, i would have approached differently.' See I think most people in a divorce setting will probably make outlandish claims about their x. I hear it all the time just from friends. " he's the craziest man i ever met... soemthing is really wrong with his brain... i think he may be a psycho' etc. Then you find out they just are having an equal battle and calling each other names. Point is whenever ER made her statements to the dr phil show prior to taping, it probably seemed like that ..just a woman bashing her x. Then once they meet MR , they see maybe he is a man with issues. I'm just guessing here. mooooooo