Is it legal sue a company for pain and suffering even when you are covered by workmans compensation?

I was injured on the job and was covered by the company's insurance for medical and partial pay, and since then my company laid me off since my injury is permanent and can no longer do the work I was doing. What are my rights. Can I sue for pain and suffering since I was injured from a defective ladder from the negligence of the company. Since I am out of a job and can't do the job I've been trained to do can I sue for lost wages If my next job doesn't pay as much and what about the reduction in pay now I am unemployed at a greatly reduced amount?