Our weeping willow has grown to gargantuan proportions and is now shading out the lovely thick Kentucky bluegrass that came with the house. The lawn shaded by this tree is of course filling with weeds as the grass languishes. (It only gets 4 hrs of proper sunlight, and the area beneath is definitely dry as expected.) This fall I am considering aerating and overseeding the area in August (zone 5a) and have a few questions.

First, should I use a shade tolerant bluegrass variety or perhaps a fescue? Maybe a mix? I'd like things to match.

Should I not bother and just water more?

I am planning on applying starter fertilizer for grass at the time of the overseed, and then two months after the overseed I want to apply weed and feed right around the time of the first frost to control weeds next spring. Reasonable?

thank you!