What you described sounds like stimming to me...I've always stimmed myself, mostly through repetitive movement (swaying from side to side when nervous) stroking things (stroking my Calico Critters cat or a plushie) or just looking at my favorite things (pictures/screencaps of my favorite animated/movie characters)...I believe that some of my first stimming experiences were staring at the pictures in a Winnie the Pooh coloring book all during a drive to my grandparents' farm when I was a year old, and when I got a Snow White sleeping bag for Christmas a year or two later that had graphics of Dopey and Sneezy dancing with Snow White on it, I just lay on my stomach staring at the graphics of the dancing dwarves and princess...my parents and grandparents probably just thought I was testing it out to make sure it was comfortable.
I'd say that as long as it's not hurting you or anyone else (and it doesn't sounds like your stims are) then just go ahead and do them if you feel like it. 
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I wish Sterling Holloway narrated my life.
"IT'S NOT FAIR!" "Life isn't fair, Calvin." "I know, but why isn't it ever unfair in MY favor?" ~ from Calvin and Hobbes