Black lacquer over veneer method?

With careful preparation and application, you won't have air bubbles or dust to worry about - at least not that you have to worry about at the early stages. As with any finish, use a tack rag before you begin spraying. Start with a light coat (called a tack coat) and when it's tacky, apply medium to heavy (wet) coats making sure to overlap your spray and not have dry spots between strokes. Let each coat tack up before applying the next coat. A good thing to keep in mind is to pretend you are stretching a piece of plastic wrap over the surface as you paint. You should be able to watch your paint flowing on without puddling or sagging. It takes some practice but you can master it. If you get dust nibs in the paint - leave them... for now.

As I said - allow each coat to tack up before applying the next coat. Otherwise, you don't need to do any other surface work.

Once you've developed the buildup and the depth of color you want, wet sand the surface with 1200 or 1500 grit wet/dry sandpaper. Be carefule around edges as the paint is thinnest on the edge and you don't want to sand through. This is the point that you flatten out all of the dust nibs that you may have in the finish. Use a soft foam sanding block - available at any hardware store and wrap your sandpaper around that for even pressure. Your fingers will create uneven pressure and you'll see it in the finish if you try to sand by hand with no block. Sand just enough to get the surface perfectly... perfectly flat. Use your hand to feel for minor imperfections in the finish. Feel for swells and valleys as well as for the more obvious things like dust nibs still sticking up. You can sand all of the nibs completely flat with patience and care. After you've flattened out the paint, use automotive rubbing compound to buff it up. Start with a coarse abrasive and progress to fine and finally to swirl mark remover. Use a decent amount of hand pressure while you're rubbing it out - you're really doing fine sanding with this stuff. You will see that the coarse abrasive will actually bring the shine up to near factory automotive levels of shine. Progress through the other two steps I mentioned and you'll see a mirror in front of you when you're done.