Whiplash injury caused by workplace accident from loose carpet tiles at work. Can I claim compensation?

I work for a Security company as a security officer. In the control room there are carpet tiles which were loose as I sat on the office chair I pulled myself forward and the wheels of the chair jammed between a gab of some loose tiles. This then caused the chair to tip forward. I grabbed the desk to stop myself from falling forward which caused a sharp pain in my neck and shoulders. I informed my manager of the accident and completed the on-site injury accident book. I was in pain and I used some painkillers to help. I completed my shift but during the night the pain would not go away. In the morning I reported in sick and went to the hospital and was told by the doctor that I had suffered whiplash. I was of work for 8 days four of which were unpaid rest days. I sent the company a self certification form and a copy from the doctor stating that I attended the hospital. I was given painkillers and anti-inflammatory tablets. The problem is that my employer has only paid me for the day that I worked and for the day I returned to work and I was told that I would not be paid for the first three days off as sick pay. I have returned to work but my neck still feels stiff and I feel some pain still but not as much as before.