2 1/2 this fall. He does have good genetics to have the spread he has, but with another year or 2, his beams will be out to his nose. As to whether to shoot him or not, that is your call. Will he survive the season of other hunters to be able to grow more?
As for a food plot. If you can get water to it, or are getting enough rain, do a no till plot if you have little time to deal with it. There are also many mineral licks you can do that will help with antler growth,,,, if it is legal to put them out in your area.