> Can adrenal fatigue cause rapid aging around the eye and dark circles
Short answer: yes.
Long answer: the symptoms mentioned in your post point to heavy metal poisoning (mercury, possibly also lead and/or arsenic). Medical doctors, generally speaking, have no clue what it is or how to cure it. Trying to follow directions of someone who has no idea how to treat it SAFELY will cause redistribution of toxic metals, leading to horrific symptoms. "Horrific" is an understatement. For some people, "treatments" at the hands of clueless med. practitioners culminated in death (page 208, Amalgam Illness, Andrew Hall Cutler, PhD, PE).
You are not a guinea pig for some experiments by a licensed practitioner with no freezing idea what they are doing with their license to kill.
> and is this reversible ?
It depends. If the cause of adrenal fatigue is indeed heavy metal poisoning, then no, it cannot be fixed UNLESS you remove the cause: the toxic metals, and do it safely.
> hormonal imbalance
Mercury poisons the brain and the liver very badly. The brain includes things like your pituitary, a gland that stimulates your adrenals, regulates growth hormone. Another part of the brain, the Hypothalamus, also secretes hormones that control the release of other hormones in the body (such as GHRH for GH). When your brain is poisoned, your hormonal system won't work the way it should.
This may NOT even appear on standard hormonal tests. This is particularly true for cortisol (see page 118 in the book, the section about improper ACTH response to stress in mercury toxic individuals) as well as the thyroid hormones. Cortisol tests are largely inaccurate by design; the "normal" range is too wide, the demands vary from person to person, and so mindless testing for cortisol leaves you with meaningless results.
Adrenal fatigue is a very reasonable diagnosis, but it is only a symptom of something else gone terribly wrong, such as heavy metals messing with your brain (brain fog!!!).
Mercury may not show up in blood or urine tests once has been sucked up by the brain it stays there. The brain won't let go of it for at least fifty years. The half-life of mercury in the brain is 25 years!
Some doctors seem to think that they have fifty years of your life for their experiments, plenty of time to poke holes in you with needles, to sample whatever tissue they fancy, to milk your insurance and see if it kills you.
If I were you, I would look for reliable information about mercury toxicity from people who know what they are talking about, such as Dr. Andrew H. Cutler, one of the very few individuals who understand what this is about.