You're right, with ppm his Alk is fine. I thought I read dKH in there somewhere. Anyway, you're going to want to do large water changes every few days if your Ca is really that high. This will bring down you Nitrogens as well. However, you need to stop dosing for Ca and alk. If you're just trying to keep softies, your water changes should be enough to keep them in check, if you are doing regular water changes. Just keep an eye on them. The key is stability.
As far as nitrogens, maybe he is just going through a die-off right now. If this is an on-going issue though, you need to step up your biological filtration; in particular, the nitrifying bacteria.
As far as lighting, you would be roasting SPS in your tank with that much light. I have personal experience with CF, LEDs, and Halides. For your tank, you will want to pick one and go with it. You can use either your CF, LEDs, or Halides for your tank, but no need to combine them. And DEFINITELY no need for two halides over your tank. Not only will one halide provide more than enough lighting, one bulb will also give you the spread that you need too. For CF, you could use a couple of bulbs over your tank, and that would be fine. Honestly, you could probably grow softies with just one CF bulb.
As far as ammonia, nitrites, and nitrates, those will be fixed with the water changes. I don't think that overfeeding is your problem. Even if it was, the algae would have grown enough to keep them in check, and your corals would be fine. Not to mention, softies tend to do just fine in "dirty" water. The real issue is lighting and Ca. Get those two in check, then worry about the Nitrogens. Also, I strongly recommend starting with softies this time. Once you can get those to grow and thrive, then move on to LPS. Repeat, then you are ready to take the jump to SPS.