First off, DON'T get an anemone. That tank is too small, and they're not suited for beginners. Clowns will host in quite a variety of substitutes, like anthelia, xenia, mushrooms, and frogspawn.
Your coral selection should do okay under those lights. The mushrooms will definitely be fine, and I *think* sun corals rely more on spot feeding of krill than lighting (unless I'm thinking of some other type of coral). The star polyps might do okay. I've had bad luck with those myself, but I've seen them thriving in other tanks.
HTH
Edit: Ha ha, JSTR beat me to it.
BTW, I don't think a 29 gallon is a nano per se. It's definitely much bigger than the 13 gallon tank I started with (and still run). I lost a fish in there at one point, but there were so many critters in the tank from the live rock, it was consumed without affecting anything - fortunately. Pretty cool...
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