I really, really need some help.

If you can't eat a regular meal without puking, your body is completely out of whack. I think you need to talk to a nutritionist, stat. It sounds like you may have shot your metabolism and there is no way you are getting enough protein and fat with your current diet. That's important for more than just losing weight.

A professional dietician who deals with eating disorders should be able to help you develop an eating plan that slowly reintroduces whole, healthy meals to your life so that you can get your body back on track.

I have brought it up to them. They just don't believe me, even with me bringing other people who whitness what I do. I rarley take in over 700-1000 calories a day.
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This is the crux of your problem. 700-1000 calories a day is not enough to even give your body what it needs to survive. Try upping your calories to at least 1200-1400 per day. You may gain a few pounds to start...but you'll soon start losing weight the healthy way.

And, make sure that you are getting enough protein, which I know is difficult with a vegan diet...

In terms of adrenal issue (Cushing's), it looks like your ACTH levels are within normal limits (about 80% of Cushing's patients have elevated ACTH). However, maybe your physician can perform a low-dose dexamethasone suppression test (DST) to establish if there are high cortisol levels. Other tests would be: To take your cortisol levels at different times of the day (midnight, late-night saliva, 24-hr urinary free cortisol). Overall most of your levels are within normal limits, and those outside of normal limits are not severely outside (and may even be within levels for the facility where you were tested). However, I am not a physician, and nothing in this post should be construed as me trying to manage your medical care or practice as your physician. I am only trying to help give you information, which you should validate as factual only by consult with your physician, and I have done this post quickly so compare it with your research. Please, make an appointment with a physician's office or call your insurance company to determine if you can get an appointment with an endocrinologist without a referral. I have heard that the Affordable Care Act has changed some of the ways referrals are conducted now (someone told me they didn't need a referral to see a physician that you normally need a referral for). However, I am unsure how true that is because it is based on the experience of a friend. Below I have listed my calculations that you should compare with your own research. Great resources include MedlinePlus.

A good sign is that your blood glucose is within normal limits (normal A1C).

Thyroid:
TSH = normal
Free T4 = normal

Electrolytes:
Sodium = Normal
Potassium = Normal
Chloride = Within Range (higher end)
Calcium = (corrected Calcium) Normal

Hormones:
FSH = normal levels for a woman still menstruating is 4.7-21.5 mIU/mL, but normal values vary. Low FSH can mean you had recent weight loss, you are not ovulating, pituitary or hypothalamus not producing normal amounts, or pregnancy
Testosterone = normal for female
Prolactin = normal for non-pregnant female
LH = a little low, but unrelated (normal = 5-25 IU/L but ranges vary depending on facility so you could be in range at your physician's office)
Estradiol = normal for a pre-menopausal woman
Estrone = normal for pre-menopausal woman
GH = a little lower (can be a sign of decreased pituitary function, but can be normal if your body is going through the end of a "pulse"; numbers vary depending on facility)