No need for step 2; you already have cleaned the surface with Dawn. Typically you do not want to use Dawn to wash a car as it strips any remaining wax (requires a new application of wax), but with a tractor and its grease - Dawn is a great choice (especially since you plan to wax it afterwards).
I would suggest using a One Step type polish (polish and wax - a much better version of cleaner wax). My personal choice is Griot's brand. Their Ceramic All In One wax will do a great job if the paint is in good condition. If your paint is substantially oxidized, then you will need to use one of their more aggressive polishes/compounds - like their BOSS Fast Correcting Cream. A random orbital buffer will make the process much faster and more effective.
FWIW, I use Griot's Ceramic wax on my Kubota and attachments twice a year. It is a spray on / wipe off wax that lasts 9-12 months. I do not believe the hype about the ceramic content, but the silane polymers do a very impressive job. Also, you can use it on black plastic with no white residue.
Griot's website has many videos showing the use of their products; Autogeek is another great website.
Protect and shine your car with our ceramic wax. This all-in-one Ceramic Wax from Griot's Garage will give you a professional surface.
www.griotsgarage.com
Learn more about our compounds and BOSS polishes and see how to pick the best product for your paint.
www.griotsgarage.com