What is the Surname of Barbie Doll?

My location can be determined by the below rebus.
So where am i ?

I never stop running even when I standstill. If I am formed by joining two identical bodies together, can you guess who I am?

It is deaf, Dumb and Blind!!!

Still, always tells the truth. What is it?

What four weights can be used to balance from 1 to 30 pounds?

What's a single-digit number with no value?

Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

As shown in the image, the nine Dogs are square fenced. By constructing just two square fences can you make sure that two Dogs cannot meet each other without crossing the fence?