Looks like you're in pretty good shape! I wish I had that soil profile starting out. I wouldn't worry too much about raising the iron level immediately, because it's a micronutrient. Think about micros like vitamins; you only need a small percentage of those nutrients for your body to operate to it's optimal capacity, but just because the Soil Savvy test says that you're low doesn't necessarily mean that it's not available for your turf. It can be present, but not plant available, because it might be tied up with other nutrients.
Milorganite has iron in it, so if you do your feeding with that product, you'll be supplementing your iron as well. The drawback with milo is that it's expensive, but for your size yard, you'd be fine with 1 bag per feeding. Look into dolomitic lime, which has Calcium Carbonate and Magnesium to raise the pH, but keep in mind with dolomitic lime, it takes a long time for the pH to go up, compared to calcitic lime. Costs are pretty inexpensive for either product.
As a caveat, Soil Savvy does state that their pH results can be skewed by 0.5 points, so take it for what it's worth. It might be good to get another test done by Waypoint, which will give us some better, and more trusted, results. Worth looking into to get a better picture, rather than guessing at what products you'll need to buy and suggestions.