I Am 35 Years Old Pregnant With My 3rd Child.

I am 35 years old pregnant with my 3rd child. I'm at 38 weeks and the pains are intense. My lower back has had bouts of severe throbbing pain, causing me to focus on my breathing until it passes....doesn't last over a minute and there is no pattern. The baby's movement has increased the past 2 days and become unbearable when he moves. I am unable to fall asleep because of increased activity and sharp pains with each movement.
Should I go to the hospital to get checked or is all of this normal? Also, baby is transverse.