Should I pursue further to an Attorney?

On 2/13/14 my Fiance, son and I were rear-ended by a car at a stop light. I was the front passenger. I was diagnosed with neck muscle strain, trapezius muscle spam and muscle strain of the right upper back. On 3/25/14 I was in my car alone, facing down a hill at a stop-sign. The car in-front of me was turning and afterwards while I was picking up speed I was rear-ended by a car. The speed limit in that area is 50 but you must go 35mph 300ft before that turn came up. I was then diagnosed with cervical strain, lumbar strain and chest wall contusion. My jaw also hurts, as well as I have constant headaches, I have a job where I sit all day long in a cubicle and my tailbone feels as though it is constantly being punched. My neck is stiff, I can't sleep comfortably or play with my 2 1/2 y.o and I have missed days of work. The Insurance company is only offering me $1000 for pain and suffering but I believe I deserve more. Should I accept or go for a longer battle and higher an attorney?