Good for you! Hopefully things work out for you, regardless of what happens.
Here's some pointers to consider, both on your appeal and in general:
It's pretty standard when assessing applications for social benefits that they'll want a physician (MD) or registered psychologist sign off on reports and assessments. Are you able to have a doctor review the counselor's documentation and countersign it?
Have you done any work of the sort the judge thinks you are capable of? Are you able to speak to those experiences, and how they ended up, and the supports or lack thereof? Basically, you would need to argue why you feel that you may not be able to obtain and hold remunerative work of the sort described.
You mentioned in your other post that you had worked with a job coach, but that they seemed to have a high caseload and so we're able to give you the attention and support you needed. Have you tried speaking to them about that, or maybe seeking a different coach? Admittedly, a major challenge for those on the spectrum is in accessing the right services. Some service providers don't have the training to cater to autistic individuals' needs, whereas others who do may have very long waitlists.
On the topic of accessing services, do you have a friend, family member, or someone else you trust and are comfortable with helping you navigate services and help be an advocate for you? I understand it can be frustrating at times to not get what you need, and it can be helpful if there's someone who can help you access services, and ensure that those working with you are doing their best for you.
On job searching - have you been doing networking as best you can? Talking to anyone in your network, starting with your (good) references from past work, volunteer, and academic experiences, but also pretty much anyone and everyone you encounter. You never know who might know someone who has a position available, and there are a lot more jobs in the hidden job market than are posted publicly. What's better, as you have noted yourself, is that getting a referral from someone who knows the employer will get you a lot further than resume spamming.
On the topic of resume spamming, if you aren't already, try to have a larger "master CV" so you can create customized resumes for different types of jobs, and when writing emails/cover letters, to do a bit of research on the organization so you can show that you have done some homework. Finally, try to write the resume and cover letter using your own format and style. When I used to be a job search coach, I quickly got bored when someone showed me yet another resume written on the MS Word template, and not just any template, but the first one that came up. I can't imagine how someone might feel if they post for a job, and they get 20-30 resumes with the same canned format. Always look to stand out, but in a good way.
Cold call. If there's a field of work you're interested in, call them up to speak to the managers (get the names if possible first, via website or social media), then followup with an short email thanking them for their time. Even if they don't have anything right now, showing that you're a go-getter with courtesy may help you be someone they reach out to when they do have something available.
Interviews - research the company as much as you can, but don't be afraid to disclose (but only if you're comfortable) that you may have difficulties with unanticipated questions and ask if they would be comfortable sharing the interview questions or at least the general topics ahead of time, and if not, to ask if they could at least refrain from random hypothetical questions like "if you were a fruit what would you be and why?" since those can be very frustrating for those on the spectrum, and they serve little or no real value in assessing whether the candidate would be a good fit. Also, there's lots of lists of commonly asked questions online, and try to do some mock interviews for different types of jobs (and employment resource centres can help with this).
Finally - if you decide to try self-employment, see if there are programs available through a government office or a local college or community centre on basic skills like advertising/marketing/media (no use building the world's best mouse trap if no one knows about it), bookkeeping, and financing - sometimes there may be grants available.
