The P&K would be for the entire season.That much lime will need to be incorporated. If you just surface apply it you will maintain a 10 plus PH for quite awhile on the surface and in the top 1-2 inches.(not good)There are many adverse effects to high PH on the surface. Calcium &Mag which is basically what you are getting in lime is immobile also. Think of phosphorus and lime as needing to be mechanically placed where you want it as it clings (anionic/cationic effect)to soil particles.Water just does not carry it well throughout the soil profile.Phosphorus is the main component needed to aid germination, too much N&K (potassium) can salt out or harm germination. an 8-32-16 mix would work for your situation@ 5-6 lbs per 1000 sq ft to establish a stand.
