welcome!
1) According to the pad guide, some pads are suited for use with waxes and polishes, but do you use the same pad to apply and remove the product?
No never use pad to remove products
2) What settings go to what pads/process?
Anything white and below I go with 4 or 3 anything above you can go 5 or 6 if needed...
3) Is there an order of detailing that I should follow (i.e. wash with Dawn, clay, polish, wax)?
wash, clay, polish, sealant, and wax would be your basic sequence...
NOTE dawn can be used to strip, not necessary to use on every wash. In fact, don't.

Good luck!
Leo