Todays urethane finishes are very shiny. Consequently areas where the paint is dulled can be rather obvious. Using the right product for the job is key in keeping it a small job, Using a polish/compound that is too coarse will leave the finish dull. Using a polish that is too fine will leave the spot in question still visible.
If I could see the spot in question in person, I could tell you what to use. Since that is not an option, I suggest you go to a parts store that has a line like the Meguiar's products. They have products that start out with the coarse compounds and work there way up to the finest finish.
Keep in mind that you will sometimes need more than 1 product to do the job. I would start out with a deep cleaner. This would have a fine abrasive, see if it removes the spots. If it does and your satisfied with the gloss level, great. If it removes the spots but, leaves the finish dulled, you will have to move to the next finer product until your satisfied. If it does not remove the spots, move down to a coarser product, until gone, and then up to the finer stuff.
A buffer can speed the process up considerably, if you have a competent operator.
Todays waxes usually have no polish in them and are little more than siliconeized carnuba, Look for a wax with a cleaner, if you actually want to accomplish anything during the waxing process. The actual act of applying wax is unnecessary with modern paint. However, it makes many people feel good to do so. Be my guest, knock your selfs out.
Use an old T shirt balled up with the seams in side, in a circular motion. Start out pushing hard, and reduce pressure as you buff.
