Welcome to the site, Scott!
Start another thread for weed treatment advice of course - we focus on soil here
You've asked for the best approach, so I'll give you more advanced recommendations - which means more work finding the right materials.
You'll have to wait on andy for micronutrient analysis.
On to the soil.
I assume you did two tests - one with the AA one without on the same soil. I don't think you need the AA test in the future. Your soil doesn't seem calcerous, in spite of your area's reputation for having it at times. The TEC of 9.24 shows a nice loam that is neither too sandy and not overly heavy. This is good.
Your organic matter level is poor. Keep mulch mowing, mulching leaves and adding free sources - it takes many thousands of lbs of material per K to raise it noticeably over time.
In the major cations, you have ample Calcium (Ca) and Magnesium (Mg), but are short on Potassium (K). The ratio is out of line, and your K level is low. So, we need to source some K in a way that minimizes the uptick on your pH. The pH is just something to note and live with.
The Phosphorus (P) level is likewise low - we will work on that too.
Iron isn't bad, but your pH makes using it quite problematic. So, we'll keep using milorganite for that - the Iron behaves in such a way that the grass can use it before it is bound up the soil.
So - what materials would I recommend? Try looking wherever you get urea first, but you'll need to find these at a farm co-op, or garden specialty type store. On 10K, this is worth some time finding the best price.
Source urea (46-0-0) for N, Sulfate of Potash (SOP 0-0-50 NOT muriate of potash or MOP 0-0-60) for K, Monoammonsium Phosphate (MAP 11-52-0) or Triple Superphosphate (TSP 0-45-0) for P, and of course - milorganite!
June, July, Aug- 2 lbs / K MAP or TSP, 2 lbs / K SOP
Sept, October - 2 lbs / K MAP or TSP
November - 2 lbs / K urea when top growth stops but roots still growing
Apply milorganite to get the color you want - bag rate monthly is a fair guideline.
That leaves a Nitrogen program. Apply most N in fall, and use urea. Read up on the aggressive fall Nitrogen program, which is basically applying small doses of urea regularly every week in the height of the fall growth season. Put down 2 lbs / K urea now (if you haven't applied synthetic N in the last month) - then hold off on synthetic N until the heat breaks late summer.
Watch how much Nitrogen you put down with milorganite - space those apps out. And, adjust how much Nitrogen you apply if you end up using MAP instead of TSP as a 2 lbs / K application of MAP will apply .22 lbs of N. Use less urea then.
Make sure to water those fertilizer applications in with natural rainfall or your irrigation system
