Need Help - Establishing a new lawn

Hi there
I am in the process of establishing a new lawn. My lawn has been garbage since I moved in almost four years ago. I have quite a bit of shade in some areas and until last week, lots of hard packed clay.
My plan is: By next summer, whatever area is not flourishing with lawn will given ground cover. Here are some questions followed by the details of my recent, backbreaking work.
Questions (make more sense when reading details further below): Can grass grow in the deep compost if I did not bring up enough of the original soil? Do I have to worry about lack of nutrients in the compost since most of the potash and nitrogen applied last week is further down in the unmixed soil. Do I have to worry about pH of the compost? Do I have to worry about the local squirrel who is obviously upset that I have screwed up all his nut buryings and can't find anything anymore? I can tell he is pretty freaked out.
Here is what I have done for the lawn (hopefully doing it once right and never again)
Last month: 1. Sent soil samples to Virginia Tech lab to get accurate readings on nutrients - received reports and quantities required. Add nitrogen, add potash, pH is fine (6.5). 2. Killed entire lawn.
Last week: 3. Rented an enormous rototiller, applied potash and nitrogen in recommended amounts and ground up the top 4-6 inches - regraded afterwards.
This week: 4. Had a ridiculous amount of high quality compost delivered - enough to cover whole lawn area with 4-6 inches of compost (how do I know if it was compost vs compost/topsoil - looks like the latter). I think they gave me more than I asked for. The source of the compost was http://www.loudouncomposting.com/ - they supply national monuments for Washington DC so I figure it must be good stuff. Looks excellent in my novice opinion and lawn care specialist in Fairfax (Merrifield Garden Center) concurred. Seem to have very knowledgeable people over there, btw. 5. Regraded new stuff with stiff rake. 6. Rented a lighter rototiller - attempted to mix compost into the soil loosened previous week = problem = compost so deep that I could hardly get to the original soil but did the best I could. 7. Regraded again with a stiff rake. 8. Put down lots of local mix seed (mixed shady and high traffic which came in separate bags - survival of the fittest!), raked a little with the back of a leaf rake to mix the seeds in a little bit. 9. Watered - and today am going to put out sprinklers on timers for twice a day - one inch per week.
Thanks for any help people can lend on the questions above and additional advice - and for those who contribute to forums on a regular basis as I have been pouring over them the last month and a half to figure out what to do.
Bob
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Bob;751027 Wrote:

The pH of the compost will affect the success of the seed. As you'v used a mix of two types then chances are some of the grass types withi that will be perform okay at that pH level, but others may not tolerat the higher pH as much
-- Helen R
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