A lot of this appeal talk is crazy - you should NOT view the appeal process as an opportunity to prove yourself right or demonstrate unfairness in the process. I'm not going to relitigate what others have said here, but in general agree that your insight into performance is probably not great. Losing a resident mid year is a disaster for a program, and they don't take it lightly. Also, the standard evaluation is "positive." Most people just give you kudos and move on because it's easier than telling you what you did wrong, then they complain behind your back to the chiefs or PD.
None of that matters now. You need to focus on getting back into residency. Finding another spot is going to be a nightmare AND if you're going to find another spot, you'll need support from your program. That means you should view this appeal process in two ways:
1. Your last opportunity to get a second chance. Be gracious, admit mistakes, don't lose your cool, be thankful for the chances you've already been given, offer them a PLAN for how you intend to change. Denying their perception of you isn't going to fix anything - regardless of the true situation, they clearly think you have deficiencies. Most educators love a turnaround and want to believe they can jnspire - just give the the chance to see you as that. Say you have learned from this and you're going to come out better. Accept their criticism and show them you can take it with grace.
2. If they kick you out anyway, this appeal is your LAST chance to grease the wheels for your job search. You can bet PDs at other programs are going to call your PD to ask WTF happened. If you spent the appeal acting like a martyr, denying problems that seemed patently obvious to others, or acting like you were unfairly treated - what do you think your PD will tell them? They'll be careful and won't put it in writing, but they'll torpedo you and nobody will hire you. On the other hand, if you do what I say above and try to recoup some respect / appeal to their better side, it may be enough to get your PD out of the way. Him or her saying "He has no insight into his problems and is unprofessional" is a death sentence. Saying "you know, we had some differences but in the end he carried himself well and I think he could do well elsewhere" may be enough to get you a look and a fresh start.
Long story short - you def screwed up here. How much is fair and how much was a witch hunt is irrelevant now, though. Your best way forward isn't legal - it's accepting responsibility, holding your composure, and appealing to their better graces.