The testis a bit inconsistent in terms of pH versus ion concentrations, so I'm actually going to say that the test looks pretty good (I'm reading the ions not the roll-up numbers). I'd consider a Logan Labs test next time for a better read; I'm not directly familiar with VA Tech's testing processes.

A 6.1 pH in a soil that fizzes (free calcium/Magnesium carbonate). No anomaly that would produce that comes to mind. Don't bother with a AA test. It's not going to be beneficial this year. We'll assume that all the soil is 8.4 pH and you can retest next year with AA. I don't like making recommendations at the 3-6" level for turf but here goes: Everything in your soil is not only above minimum levels, but decently into sufficient and some even at optimal levels EXCEPT Phosphorous which is detrimentally deficient ( your turf probably did well the first couple of years because sod farms pound their turf with P and you used up the residual that was present). In fact. P is well below critical. Potassium (K) and Boron are also a bit low. but we only need to keep an eye on B and kick K up. It's Phosphorous though, big time. The clay is going to be a real PITA. Edited: Before we go forward: Are you willing/can you afford to aerate twice this year? Can you find/want to pay for Triple fertilizer (10-10-10, 12-12-12, etc) ? Can you find/want to pay for Triplesuper Phosphate ? Can you find/want to pay for Sulfate of Potash/Potassium Sulfate/Sop? Can you find/want to pay for Milorganite (5-4-0) ?

Nearly all labs that provide recommendations do, many will even give an option to specify for the particular crop to be grown (if they don't ask, find another lab). If they don't give recommendations, some don't ask, as all they are doing is testing for current existing nutrient values and it's up to you to decide what amendments/adjustments need to be made for your purposes. Doesn't mean they're a bad lab.

According to my calculations, you are short about 2 lb/k of P2O5 (phosphorus) and 4 lb/k of K2O (potassium). Probably the easiest way to get that 4 lb/k of potassium is to use a balanced NPK fertilizer, like 10-10-10 or 20-20-20. It would also give you 4 lb/k of nitrogen and 4 lb/k of phosphorus. You don't need that much phosphorus but it won't harm anything (except possibly the mycorrhizae). You want to avoid nitrogen in the summer. So if you went with the balanced fertilizer, you would be applying probably 3 applications, one a month for mid August, September, October. The 4th could be next year. Divide the NPK number into 100 to get the application rate (example, for 10-10-10, divide 10 into 100 to get 10 lb/k rate). An alternative is to find SOP, potassium sulfate, 0-0-50. You could apply that once a month, even in the summer, at 2 lb/k for four months. That would take care of the potassium. Two applications of starter fertilizer in the fall would take care of the phosphorus. Since you're planning to overseed, it would make sense to use this plan, as you could do an application of starter fertilizer at seeding and another a month later. Milorganite could substitute for the second application of starter in the fall. Use bag rate for starter or 25 lb/k of Milorganite at 5-4-0 to get 1 lb/k of phosphorus. As for nitrogen, the balanced fertilizer plan would give you 4 lb/k, which is more than you need for the year considering that you have already applied nitrogen this spring. If you use the alternative plan (which I think is better), you would get almost a lb/k with each application of starter fertilizer (1.25 with Milorganite at 25 lb/k) and then you could do a winterizer application of a quick release nitrogen in late fall after the grass has stopped growing but before the ground freezes. That would get you off to a good start next spring, when you could hold off on fertilizer until around Memorial Day. Your organic matter is low. It's good to leave clippings on the lawn when you mow. This fall mulch mow any leaves in your neighborhood that you can gather. If this is new construction, there may not be many trees but do what you can. The compost you're planning will help. Mulch mowing leaves is like making your own compost for the lawn --and you don't have to spread it! Water in your applications. Milorganite does not need to be watered in. Phosphorus tends to get tied with quickly with calcium in alkaline soil. It's there, just not available to the grass. Using organic forms of phosphorus, like Milorganite, enables a slow release of phosphorus. If you test next year and phosphorus is low, it's probably because of the alkaline soil. It's still there, just unavailable. Such is life for alkaline soil.