Baby movements usually slow down in 9th month because baby is out of room. If you can time your contractions and they are coming in regular intervals that is labor.
Is it normal for your baby? Every baby is different. My boys were all VERY active, especially when I was having BH. I don't know if they were active because I was contracting or if I was contracting because they were active. My BH, especially in my last pregnancy, sometimes became quite painful because of the activity and how baby was wedged in my short torso. What you want to watch for is a change in your baby's movement, a sudden increase or decrease in activity could (but not always) indicate a problem. Most likely it is nothing to worry about, just baby's reaction to running out of room, but check with your dr just in case.
I'm having the same symptoms!