I obviously do not replace the advice or expertise of doctors or psychologist or anything, but I can share what I'm going through to perhaps give you a bit of insight as a sufferer.
I suffered my trauma about a year and a half ago (Jan 2016), and I did immediately experience symptoms, but since roughly the fall or so it has gotten severe (I can't remember the exact time I noticed when symptoms started to get severe, and honestly ever since that it has been going downhill as I am only relatively fresh into treatment). My motivation has gone, my appetite is ALL over the place. Some days I want to eat all the time, and crave things (often unhealthy fatty sugary foods.. Like right now, I want some Oreo cheesecake haha), and some days I have zero appetite to eat anything, even my most favourite foods.
Since my trauma, my memory has also been in all sorts of shambles, but it depends on the day and what we're talking about. I will often remember appointments (even if it's last minutes) and special events (again, sometimes last minute), but if it's the stuff my brain perceives as mundane, or things that stress me out, or even just for no reason, my brain will forget it. I will forget about what we had for supper, I'll forget certain conversations, though sometimes I will remember them later, and there are details about the trauma and the day of the trauma that I forget (such as whether it was raining or not). My memory is good long term, for the most part. There are events from 8 years ago that I remember well, I remember conversations, what I was wearing on a day where nothing super major happened, and everything like that. But since the trauma and appearance of symptoms, it has become crappy.
As a result of my trauma, with speaking with my doctor and psychologist, I have been officially diagnosed with Major Depressive, PTSD and Anxiety and Panic Disorder. What I'm experiencing in regards to my relationship with my appetite and food and my memory, according to my psychologist, is directly related to what I'm going through, though she didn't say whether one illness was causing it or a mix of all three.
If you are worried about your husband, and think it may be PTSD, it could be worth it to have a discussion about it with him, if you haven't already. If he is suffering, he is suffering untreated and unknowingly, which is always unfortunate and not what anyone wants for their loved ones. You could bring it up to him, and say that you will go with him to speak to his doctor about it, if he and you are comfortable with that. If he has a supporter with him, who is the one who noticed these things about him, it may be helpful.
A discussion is always worthwhile, and even if it not PTSD or anything like Anxiety or Depression, it may be another health issue that you have not ventured into thinking about.
As always, this website is here if you need a chat or need to ask a question. I have found this website, and the chat, extremely helpful. It's nice knowing there are people who are going through similar things, or know people going through similar things, in a space that's free of judgement.
Also, I have to add... proof of my memory here. Between reading your post and writing my answer, I completely forgot you asked about sleeping as well, so I'll add this tidbit of mine in another comment.
My sleeping has also been completely messed up since the trauma. I have a VERY hard time sleeping, though some days are easier than others. I also have an absolutely terrible time trying to wake myself up (using alarms etc), though at the same time some days are opposite. I'll give you last night as an example. At about 8pm I was falling asleep. I fell asleep in the bath, then got out and sat on the couch (aiming to stay awake), and fell asleep for a few minutes. Then sat on the bed to change into my pajamas and fell asleep haha. So I gave up trying to stay awake at about 10, and went to sleep and slept until 10:30 this morning, and I still didn't want to get up then. Though I should add that was the first night in about a year that I got more than about 5 hours total in one night of sleep, but it was not fulfilling sleep. I had multiple flashback style dreams, waking briefly a good few times, and still woke up exhausted.
Just thought I'd give that little tidbit about that in case you wanted to know, or it was helpful.