Lunar light LEDs are not necessary, but a nice little option if you want them.
I wouldn't leave the actinic lights on 24 hours a day. More typically, they are used to simulate dawn and dusk, as well as to help balance out the strong white appearance of the daylight bulbs. Actinics also help bring out the colors of the corals. If you leave the actinics on 24 / 7 you'll burn through them more quickly and most likely encourage some unwanted algal growth. Many people have them come on 1 hour before the daylight bulbs and turn off 1 hour after the daylight bulbs. I run them for 2 hours before through 2 hours after the daylight cycle, which accomodates my schedule a little better for seeing the tank.
As far as coral suggestions go, there's so many... You might want to browse an online site like LiveAquaria.com to see what corals you like. I can list what I like and might put under those lights, but you might not like the same things. You can list the ones you find that you like, maybe even include links to them, then everyone can provide advice as to how well they might do in your tank.