That rules out acclimation issues then...Some lasted a week some lasted a month
Also symptoms of nutritional deficiencies due to nutrients in sps is normally a gradual fading in color followed by a SLOW... slow tissue necrosis. if you are having rtn (losing tissue within a few hours or a day) its most likely not nutrient issues unless they were too high which isnt the case.
i run my tanks very similar to yours PO4: .02ppm NO3: 2.5-5ppm ALK: 10 dkh with no issues, never lost an acro. always have...
insufficient lighting normally causes a browning out of the tissue and slows grow considerably(almost to the point of no growth) but normally sps can survive like this for very long periods of time.
too intense of light can cause rtn but its normally immediately after being placed in the tank or following a lighting change. (also zoanthids are one of the hardier ones and can handle very heavy light and flow if acclimated. ive had zoanthids at the top of tanks under 700 par with no problem)
i will say that i have had issues with rtn due to insufficient flow though... one time i had a powerhead go out for about a week before i noticed it in my quarantine tank and lost a few acros. lost one by one until i figured out there wasnt very much flow in the tank. one minute they were fine, the next they were skeleton.
is that cyanobacteria or just coralline algae? kind of just looks like coralline to me since im not seeing it on your sand. cyano does release toxins which can cause issues.
as far as the new tank thing. if you are checking your water quality regularly and not letting them get out of whack it shouldnt be an issue. i stocked my current tank with the majority of the acropora colonies i currently have a month after i set the tank up. after the cycling process of course. and i havent lost 1 or had any issues. tanks been up 3 years now.
i cant say much for your carbon dosing though... dont have any experience with it