Am I entitled to compensation?

I am employed through a staffing service to work at a company as a biologist. I was injured on the job, broke my finger and tore a tendon on my right hand. After injury, I reported it to my supervisor and then was seen by the safety guy at work who attempted to straighten my broken finger and taping it to a tounge depressor and said just ice it (with dry ice I was provided with) and that I didn't need medical attention, even though I told him how much pain I was in. My hand and finger swelled substantial and pain radiated up my arm. Five and half hours later many people at work said that they were required to take me to get medical help and the safety guy called someone to take me to urgent care I filed a workmens comp claim and continued to work light duty with restrictions from my Dr to have no use with my right hand (dominant hand). After 5 weeks of light duty, which was ordered by my Dr. the company let me go because I was unable to perform my job as required.