So an 84 gallon tank with 160watts of normal output lighting? No, that's not going to be enough for anemones...and I'm not even sure it'll work for low light corals. The bottom end of lighting for a reef tank is 3watts per gallon, but the more light the better.
Hmmm...looking at your specs, it looks like you're describing more than 4 40watt bulbs...could you repost exactly how many 40watt bulbs you have? The Blue moon bulb is probably useless if its meant for moonlight simulation.
I'm a bit of a purist, so I'm going to say pool filter sand isn't a good choice...much wiser to go with an oolitic/argonite based sand, which will help with buffering the water, and won't be rough/sharp enough to hurt and sand sifting fish or inverts. I'd stay away from crushed coral for that same reason, plus it's a detris trap.
A U/V sterilizer isn't needed...since you're on a budget, you'd benefit from a good skimmer more than a U/V sterilizer in the beginning.
And although you have a wicked gph
on that return pump, you'd still need a couple of powerheads to create the random currents desired in a reef tank.
Yes, live rock will seed dead base rock with life, just takes a while, but it is a good way to lower the overall setup price. I'd use at least 25% live rock, so you have the upper hand. And I'd recommend liverocks.com