Refusing to pay back the money

I was checked in under the wrong name and told that my luggage was not paid for. I then had to make an additional payment before my ticket was issued. After receiving the ticket I realised they checked me on on the wrong flight. After checking me in with the right name they saw my luggage was indeed paid for. I then asked for a refund and they refused, saying they couldn't do it at the airport office and I had to apply online. All my requests and emails have since been ignored!! Your service stinks! Besides booking me in under the wrong name, you are now refusing to pay back my money!