The back tyre is still good for a good few miles. You can change the front tire though, he looks a bit old and abused. Get yourself a Michelin Pilot Power for sporty riding or a Michelin Pilot Road 3 for sport touring. Just my choice of tyre. Good luck and have a save rideing season.
Yup the back looks good but the front is used up. Maybe check the manufacture date on the back tire to make sure its not over 4 years old. Also I'd stick with the same type tire front and back so if you go with a different front then change the back too.