I know that Lyme will drop your body temp. I run in the same temp range as you do when I take my morning temp.
For me I will wake up really hot in the middle of the night, but I've never taken my temperature when that happens.
I do get the detached feeling often, I hate it. years ago I spent years in therapy because I thought it was psychological. Now I'm just learning to deal with it, but it always freaks me out a bit. I feel like I'm watching myself but not actually there.