This is what I'm working against. There are some deeper ones, but I didn't get pics.
From what I can see, these defects seem well within the corrective limits of the DA polisher you mention.
By reading your first post it sounds like you have a machine and a few pads. This should be sufficient enough to perform a small test. Taking your time not only allows you to perform a thorough task it allows you to learn how it's done.
Wash a section of the hood or some other flat panel. I'm recommending a flat horizontal panel because it's easier to see your progress than with a vertical panel.
Clay this same surface to remove any embedded debris, wax, or contaminates from the surface. Once through, wipe the surface with a clean Microfiber towel allow it to dry and mask off a couple of 2' X 2' squares.
Polish one square. For this test you can purchase some over the counter products like Meguiars Swirl X Swirl Remover. This is an ideal product for anyone whose vehicle is suffering from micro-fine swirls. This is similar to Meguiar's M205 and can be used with a green or white polishing pad.
IPA Wipe the surface to ensure that any oils are removed and this step also allows you to inspect the surface condition. If you find that many of the defects remain then you'll be forced to use a compound like Meguiar's Ultimate Compound. This product cuts as fast as a harsh abrasive compound but without scratching… even on clear coat finishes. Use tis with an orange pad and always follow the manufactures instructions on the back. OH, if this should be the case then repeat the polishing step above.
A quick note. Before ordering a bunch of product you can purchase some over the counter products like Meguiar's Ultimate Compound and Meguiar's Swirl X Swirl Remover.
Sealants. I like to use a sealant as the next step. Today's sealants are synthetic waxes but last twice as long. Wolfgang, Menzerna, Poorboy's, and DP offer some great products.
Waxing is the final step. Choose a quality wax and Autogeek has plenty to choose from. Pinnacle, Collinite, DP, Dodo Juice to name a few will leave the surface looking wet and the orange flake should really stand out.