Hi Raymond, as far as I can tell there is pretty much no shutter lag on my D1H. If there is, I don't notice it, and it's probably in the hundredths of a second. I felt no difference between this camera's shutter and that of my N80.
The AF is very fast; seems just as fast as F5s and F100s I've tried. It's definitely faster than my N80, and I never really thought my N80 was that slow in the first place. The D1H handles my 80-200 f2.8 (non-AFS) pretty dang well.