I wholeheartedly agree that Grant would have followed Lee to the ends of the earth. That must have been a terrible burden on Lee's mind, and to have him flee westward would also conflict with the boldness of his character in giving battle. Lee had a stake in Richmond from the beginning. He was a Virginian fighting for his home State. That is why he drew sword for the south to begin with, and I can't see him fighting once Virginia is overrun.
I agree. To surrender the initiative to Grant, was tantamount to accepting defeat. I believe that to Lee's mind, being driven out of Northern Virginia, would be the sign of defeat in Va., i.e., to surrender Northern Va., was to the surrender the war, or, at least, any rational hope of victory, and depend upon miracles, for survival.