1) You should probably skip the palmolive step. Just wash it with the Megs Quik Suds and Polish your car before you wax it with Gold Class. Meguiars ColorX probably a good polish for this step. This one should remove your old wax.

2)The Chamois usually does not dry your car completely. I usually use the microfiber for the second pass.

3) You should probably wait a day before you wash your car again after you wax it. Your car probably looks the best after you wax it. Why would you want to wash it again?