@mdplastics, Welcome to Connect, and Congratulations on your recent liver transplant! I am a transplant recipient and my transplant ( simultaneous liver and kidney) was in 2009. As I read your post I recall what other members have shared similar post transplant struggles. It is not limited yo liver transplant patients.
I remember after my transplant, that I needed a nap each day. In fact my husband made sure that I was not disturbed from 12 noon - 3PM each day, so I could nap, or simply rest. I learned that I had to rebuild my endurance for activity due to my inactive and difficult pre transplant period. I increased my walking distance over time, and that helped. I discovered that I could only allow myself one cup of coffee, and no caffeine after lunch if I wanted to sleep. It was a while before I could sleep through the night, though. At my 4 month checkup, my iron was low, so my team prescribed an iron supplement until my level returned to normal range.

I want to share a couple of discussions where members have discussed some of their own early post transplant experiences. I invite you to take a look, and you will find the oldest replies to be related to your concerns. If you would like to direct a question or a comment to a particular individual, just post their @name like I have included yours at the beginning of this reply.
-Post Transplant Surgery and Early Recovery: What's normal?
https://connect.mayoclinic.org/discussion/post-liver-transplant/
-What helps with post liver transplant fatigue?
https://connect.mayoclinic.org/discussion/post-liver-transplant-fatigue/

@btwest6, @gphetteplace, @contentandwell, @stolson1, @kennyj12462, @krsunny1 - What would you like to add to my response?

@mdplastics, It is possible that your medications are impacting your lack of focus, brain fog, sleeplessness, fatigue... Is your transplant team monitoring your tacrolimus blood levels?