It certainly looks like mites. If indeed it was mites the damage was already done before you sprayed. The fact that you sprayed Trilogy (which is a neem product) and soap does not remove the damaged from the leaves. Your leaves will look like that probably for the rest of their lives. If the mites are gone the new leaves will look normal. You might consider starting a regimen to walk your grove to carefully inspect for any potential problems at least weekly. It is also a good idea to start a data base of any problems, where they occurred, what time of year, the date the problem was noticed, and treatment given and results. Many growers feel that by doing this they get a heads up of what to be on the look-out for during each season.

A plant grown in the house needs to get acclimated to outdoor sun gradually. It's going from a virtual closet to direct outdoor sun..., they are going to burn. New leaves will be adapted to the sun.

One of the many leaf sucking insects but it is minor damage and nothing to be overly concerned about at this point. Flea beetles is a possibility as it is that time for them in parts of the country right now (which is why you need to include your location in your posts). If it is them you can brush your hands over the leaves and see tiny black leaping/hopping beetles. Dave

I could not see the white clearly in the first set of pics either but it first reminded of mealybugs and similar pests.... Then it reminded me of variegation in other plants; isn't cooperii a variegated hibiscus? The second set of pics makes me ask how many hours of sun is the plant getting...In winter, they get less sun.If you see some gray (I could not tell for sure) on the leaves in the 2nd set of pics, that could be powdery mildew.