Problem with a purchase shown on your statement: Credit card

I had a garage door company come out to fix my garage door. The service wasnt done properly and had 1 year warranty. Called the company few times but never answered the phone. I disputed the charge with my bank account. When the garage company found out, the decided to show up fix the garage and asked for the amount that was disputed so I paid them that amount. After I paid them, the went to Barclays ( the bank of my credit card ) and said they didnt get paid and to reverse the dispute. Barclays with no proof decided to reverse the dispute and when I called them they wouldnt provide me any proof or details on anything. I was able to reach someone at Barclays but they stopped responding within a few emails/phone calls. I am trying to dispute the charge with justification under section 9 of their dispute form which is paid by other means I paid the company with a check and they cashed it.