When I was 18 and 19 I received several speeding tickets and didn't pay them. They issued a warrant and I got a arrested. They booked and fingerprinted me. They then allowed me to pay for my tickets and released me. It is 13 years later and they are doing a FBI national fingerprint background check on me for my job. Will this show up on my record and will this be reported to my employer? I am very worried and stressed out.

Your employer is only interested in felony convictions. Traffic tickets that long ago should not show up.

If your prints got sent to the FBI from your state and were never expunged then you may have a record with the FBI. It is up to the state that sent the prints to the FBI to direct the FBI to expunge them