Answer:
Soft and cuddly I'll pull on your heart. But take my last name and I'll tear you apart.
A dragons tooth in a mortals hand I kill I maim I divide the land.
My first half means container. Not a lot of people understand my language.
By myself, I'm practically nothing. Worthless as a leader, but when I follow a group, their strength increases tenfold. What am I?
I have roots nobody sees. I am taller than trees. Up up I go but I never grow.
No matter how little or how much you use me, you change me every month.