I live in northwestern Illinois. We've had a few frosts so far.

I had some construction done in the backyard, which tore up about
1,000 sq ft of lawn. I just got it all tilled and smoothed.

Do I plant grass now, or wait until spring?

If now, do I just spread the seed? Will it germinate yet this Fall,
or will it lie dormant until Spring?

In other words, if I do plant it now, do I water it also?