I have done detail work for over 30 years, You can polish your paint and then you can wax your paint depending on what your wanting to achieve
Look at the products you are buying and take the time to read what it does, you might be amazed, if it cleans as it waxes then it does not matter how many coats you say you put on it you will still only have one, it cleaned the last one off when you put the next coat on.
Waxing, if you really want to put a good coat of wax on your paint, one that will hold up for a few weeks then use a product that only waxes and contains yellow carnuba wax. The more YELLOW CARNUBA wax in the product the more expensive the wax will be. I use Zymol it costs anywhere around $200.00 a can but there are other less expensive products out there.
Use a good clean micro fiber towel to wipe the polish off with and you should be very happy with the job
Please don't gob a bunch of wax or polish on your paint you will really be surprised how little you need to accomplish most jobs. Usually a very light film is all that is needed the rest ends up a waste on your towel and is twice as hard to get off.
Don't let the wax or polish dry, put it on in a light coat, I usually use my finger tips to apply wax with on my bike and try and wipe it back off it a minute or two. After you have waxed your paint with the first coat come back to it after about 8 hours and apply a second.
After doing it this way a fly will bust his ass if he tries to land on your paint.
NEVER PUT ANY WAXES OR POLISHES ON HOT OR WARM PAINT!!!!!