Zoo Sorry DD is stressed, and despite being cooler you haven't slept well. If you are ever worried DD2 isn't safe do take her to A&E or phone the crisis team. Many schools will be lenient with entry to A levels if results are a shock but CAGs would allow entry.
I do agree, DD should try to attend the first day if possible. Otherwise she may find it harder to go back because on top of what she's already worried about she will worry she has missed out socially and academically. So far the school have been supportive so hopefully they will continue to be.
Why have the LA not named your school? Unless it is wholly independent the LA can only refuse if it's incompatible with efficient use of resources or education of others, or unsuitable for the age, ability, aptitude or SEN.
Experts advise to get the certificate and go to tribunal. Otherwise time is wasted, and if the LA are going to concede they will anyway. I'm glad SEN Support were helpful and will chase things up for you.
Dolly the format of CAMHS' initial appointments differs area to area, but they will all want a life and social history - birth, development, other dx, who lives at home etc, and current difficulties. It is likely to be an appointment to triage DD on to the correct pathway and assess urgency. As Zoo said, there may be some forms to fill in too. It will help if you make a list of points you want to raise, otherwise you may forget something in the heat of the moment.
Have you spoken to the new school about support? From your posts I feel you are going to need to apply for a EHCNA.
Day sorry things are so difficult. Are the crisis team involved either via A&E or over the phone? Milestones assessments will look at DS' development from infancy. I am surprised this hasn't already been taken. Can you and DD spend 1:1 time out of the house or is there anywhere DD could get some respite for a night?
Like I said for Zoo's DD, there will be some leniency if CAGs meet the entry requirements.