No Gman, no reassurance will help. Not because you have Fatal Insomnia, the incidence of which is about one in a billion (seriously - I'm a former neuro-trained nurse) but because you've developed health anxiety as a result of your exhaustion. Health anxiety is a very real illness, which can rarely be cured by reassurance, but needs psychiatric help.
There are currently at least five other young men on these boards also convinced they have fatal insomnia. All have exactly the same symptoms as you - which are, of course, the symptoms of anxiety as well as those of fatal insomnia. Much as I rely on it myself, I sometimes wish the b****y internet had never been invented!
You've actually put your finger on it when you say you've developed sleep dread. That's very perceptive of you. That's what you need to be addressing, rather than wasting your energy on speculating about fatal insomnia.
I was never a good sleeper, even as a child, and could easily go several nights in a row without sleeping at all when I was stressed. In my mid-20s, I found myself unintentionally taking part in a pilot scheme to "improve" nurses' work schedules, which involved working to a lunatic schedule which comprehensively screwed up my sleep pattern for at least the next ten years. I therefore know what it's like to go on day after day in a demanding job, not getting enough sleep, and getting into a state of panic at the approach of every night. I sympathise totally. It wasn't fatal insomnia, btw - I'm 72 now and still going strong.
If my reaction so far has seemed somewhat flippant, it's because of exasperation at hearing this fatal insomnia story once too often.
Since this has only just started, you have every chance of breaking out of it yourself. Obviously the usual sleep hygiene measures apply - no coffee in the afternoon, a reasonable amount of exercise but not at the end of the day, absolutely no phone or computer use of any kind in the last hour before bed etc. I used to take a small dose of one of the first-generation antihistamines just for a few nights at a time after a run of bad nights. These are promethazine (Phenergan), diphenhydramine (Benadryl) and chlorphenamine (Piriton). Not the new generation - they don't make you sleepy. You need to take antihistamines about an hour before going to bed, as their sedative effect is quite mild. If you take one on going to bed you'll still be awake an hour later, the anxiety will kick in again, and the antihistamine won't be enough to counteract it.
But a word of warning. If you do decide to try antihistamines, don't take them for more than three consecutive nights. You can quickly develop a tolerance to them, just like sleeping tablets, and they'll stop working. I used to take them for two or three nights every 10-14 days. And don't overdo the dose, as they can make you feel hungover the next morning.
I don't think you should worry too much about the dreams. Dreaming a lot doesn't mean you're not getting restful sleep. However, if you're very concerned about this you could ask your doctor to prescribe an antidepressant. These very effectively suppress REM sleep, where dreams arise. They also help some people to sleep. However, they paradoxically cause insomnia in some people while they're actually taking them, and insomnia is pretty much inevitable if you subsequently try to stop them.
Another alternative would be to see your doctor and ask to be referred for CBT (cognitive behavioural therapy) which can sometimes be very effective. It might be useful to get a general check-up anyway, with blood work, to make sure your general health is OK. But please don't go into your doctor's office saying you think you have fatal insomnia. These boards are littered with young men who did just that and were dismissed out of hand by their doctors who, knowing the virtual impossibility of this diagnosis, then refused to take them seriously and investigate other causes.