Hmm, again I don't know for sure : ) First off the spinning of the earth doesn't affect the warping of spacetime (gravity) so the equator example seems to be wrong.
The more interesting question to me would be what would be the clock speed for a clock in the center of the earth where it would 'feel' no gravity. It is at the bottom of a gravity well so I would expect that it would be very slow, but it might be that the balancing of gravitational forces at that point produces a 'peak' in the gravitational field, counteracting the other warping?
Always keep in mind that every observer will see his clock running faster than other clocks which are moving with respect to him.
You're right! It would only affect a person's weight (making them lighter). Not sure what I was thinking there.