Working on two DWP appeals at the same time!

Hello, I find myself in rather a difficult situation. Last year, I lost my ESA award and have been anxiously awaiting a tribunal hearing which is next Friday, finally.
However, I received a letter dated 26th October to say that my daughter has been turned down her claim to move from DLA to PIP, since turning 16. The lady that visited our home was just awful and dismissed everything for 0 points.

I am trying to prepare for my ESA appeal tribunal hearing and this is stressful enough, but also I gave notice on the 7th November on the phone, to request a Mandatory Reconsideration for my daughter who had to come on the phone and confirm this with the department in order to set the process off running.
We will be following this up in writing, however, what I am thrown by is what the lady from DWP said on the phone. She said that the phone call resets the clock, and that we now have a month from the call to get in all the evidence we need to support the Mandatory Reconsideration.
I question this, because I was under the impression from my ESA appeal that everything has to be in a month from the date on your decision letter? I am aware that some of the information can be questionable and misleading and just wanted to double check.

If someone could please shed some light on this for me, I would be grateful, because obviously, I could use the extra time to prepare with the ESA tribunal overlapping with this.

One more thing, if I may. Does anyone know if it is possible for my daughter's disability/pip payments to continue during appeal as I was told they would stop on the 21st of this month? I ask this because my ESA was reinstated during appeal. I know it is different because there is a chance we would be overpaid if the PIP claim is not overturned at appeal, but just wondered if there was a chance this could happen.

The problem is not so much the loss of my daughter's DLA, because this is only £22 a week at low rate, rather, it is the loss of the disability element of child tax credits which is a much bigger chunk of our family income each week.
We have already been down £30 a week, every week, since October last year with the ESA turned down, and now the loss of tax credits and DLA will reduce our income by a further £82 a week. It is very stressful.
I really appreciate any input anyone has on the matter.
Thank you for your time.

Gordon, I cannot thank you enough for all your help. You have continued to offer support throughout this last year and I am finally hours away from my tribunal hearing. As nervous as I am, I wish it was right now, I just want this over with now. I can't eat and can't sleep for thinking about it.

May I ask one small thing?

My partner is coming along with me for support due to my severe social phobia. I pressed and pressed for this to be decided on the papers alone, but the tribunal was twice adjourned due to the decision being inconclusive, so of course now I have to go to the hearing which puts me directly in a social setting, the kind I try very hard to avoid. I am angry that I have been asked to come in, but I realise this is my only chance to have my say. It is just so hard for someone like me and I hope I can get that across to them.
I will be taking notes in with me to help me remember what it is I want to bring up.
However, my partner is concerned about what is expected of him at the hearing. Is he allowed to interject or must he wait to be asked to speak. Can he prompt me or remind me of things? We have never had this experience before and don't know how to behave in such a situation. Can he speak freely or will this be seen as disruptive?

Thanks again for all your help. Nearly at the end of the road now. Hope there's a good outcome after all this time.

Gordon, I won!
0 points to 24 and support group too. He also requested that I not be reviewed for at least 2 years due to stress. Really thrilled with the outcome. I was literally terrified and had all on to get myself into the building. It was a really forum location and I was incredibly overwhelmed.

I didn't have to talk very much at all. My distress at being there, was obvious and I think they knew that I was suffering as they told me to go and sit outside again, and within minutes, asked me back in to tell me the good news.
Again, thank you so much for you help. This site has been crucial to winning my case. I have learned so much. Now, I can work on my daughter's PIP case with a clearer head.
Best wishes.