I would hold off on corals, not necessarily because of your water parameters, but because it sounds like you need to get your feet grounded a little more about water chemistry. A couple reasons I say that...
kh/dkh and alkalinity are the same thing, but you're listing them twice - and the two values are not equal. 14 dkh is equal to 5.0 meq/l. You list your alkalinity as 2.0 (I assume meq/l) which is 5.6 dkH. The 2.0 value is very low. The 14 value is a little high. It's one or the other... but not both.
What supplements are you using to increase your calcium? And what salinity are you at with that 360? Unless you have a huge load of coralline algae sucking the calcium out of your water, most likely you have very little daily calcium "load" - in other words, not much is being used on a daily basis. I've found the trick with getting your calcium levels where you want them is to start with your source water and make sure THOSE calcium levels are where you want them. If your fresh salt water is at 360, you're going to have to add calcium to it at every water change. I use "TurboCalcium" and this calculator...
Reef Chemistry Calculator
... to figure out how much TurboCalcium to add.
Do the same with your display tank and elevate that calcium level. Most stuff I've seen says not to raise calcium levels more than 20ppm per day.
Once you have your calcium levels where you want, and your PWC water is at the same level, the calcium levels should stay stable until corals start using it. THEN, you should start supplementing with something like a 2-part calcium/alkalinity solution... in equal parts. But only dose what you need to keep the levels stable.
Your calcium levels may not be increasing because of low magnesium levels. You don't really need a magnesium test kit, but if you're trying to correct chronically low calcium levels, sometimes low magnesium is the culprit. Magnesium levels should be about 3x your calcium levels - so in your case, about 1080ppm.
My concern about your parameters is that a lot of times when you see people dosing with ProductX "as instructed", they're just focusing on on single parameter... like calcium. They keep adding and adding and things don't budge. In the mean time, alkalinity levels and pH levels go bonkers and in quick order bad things start to happen.
Not saying that's what you're doing... just saying the high alkalinity when trying to correct a low calcium level seems to be one of those warning signs. Until you get your levels where you want them and can keep them there without supplements, THEN I'd consider a coral or two.
My main concern is that your water parameters are going to swing more as you try to get your levels where you want them, and rushing to get corals may end up causing you to throw away money you don't have to.
Ahh... the phosphates aren't good. That's really high. You're shooting for something less than 0.03ppm - preferable not even detectable. I'm not sure if phosphates of 1.0 will make them die, but they won't thrive like that. Are you using tap water? Cheap carbon and not rinsing it? Just wondering where that amount of phosphate is coming from...
PS... Here's a good article about correcting calcium/alkalinity problems:
http://www.advancedaquarist.com/issues/nov2002/chem.htm