You should strongly consider hiring an attorney to assist you with quashing any bench warrants so that you do not get arrested. Unfortunately, all the court knows at this point is that you failed to appear in court on the schduled date, even though you were out of the country and did not know. The court will tell you that it is your responsibility to know when your court date is or stay in contact with the court to find out when a matter is assigned a court date.
With respect to your ticket, have your attorney look them up to learn the exact charge or details and then determine how best to deal with them- either plea bargain the case or set it for trial. Every effort should be made to prevent a conviction and keep this off of your record.