Everything Under the Moon

When I was six, I was having a dream (the topic of the dream doesn't matter), but at one point when I was talking to someone in the dream, it locked up like the computer I had back then.
I was still talking, because it had frozen up while I was in mid-sentence, and I could feel my lips moving, feel the blankets on me, feel the mattress and pillow beneath me, hear my sister's radio.
I could still see the image of the dream across my eyelids quite clearly, but nothing and no one was moving.
I freaked out and was unable to do anything for about five to ten minutes, except feel the quickening beating of my heart.
Then finally I snapped out of it, and it never left my memory.

Does that event sound like a case of sleep paralysis?

No. It doesn't sound like a case of sleep paralysis to me. SP actually occurs while you are awake. You shouldn't be in REM and dreaming. So, with the information you have given me.... it sounds more like a (albeit terrifying) dream.