I agree with Erik, @zimmy I don't have to deal with headaches very often, no more so than before I had T. But I feel tired constantly, like you. I also think its just the constant stress and anxiety for me, more so than the sleep. However, I do find I can no longer get a solid straight seven hours; it's three hours asleep, then awake, then drift back to sleep for another couple hours, then awake, the back for another two hours. Not the same as sleeping straight through.
If you have not already: you could try sleep aids, either natural or prescription. Quite a few people have posted about them on this board. Here is one thread, here in support.
https://www.tinnitustalk.com/threads/sleep-strategies-for-tinnitus-related-sleep-problems.17/