I can rote memorize for classes, but memories, I only remember the sensory stuff, and a few other thing maybe.
Like, I'll say to my family "Do you remember then? We were sitting at a table with a green tablecloth that was cottony and there were 5 chairs, and etc..."
But I don't really remember if I did or said something. And if I did, it is usually like the first letter of the phrase or something weird like that.
As for caring, it is kinda hard to tell.
All the stuff I learn in school, I learn for THAT year, and then forget most of it
(My Precalc teacher got mad at me because I didn't remember geometry. Geometry! I took that 2 years ago, how am I supposed to remember that?)
Memories of family and friends, I want to remember some of them, but not all of them. In fact, there was a time when I was depressed, and I am trying to repress that memory. At the same time, I do notice that it is a little bit harder for me to remember stuff like that.