A couple things - corals don't close up because of too little calcium or magnesium , they just won't grow. Phosphates and Nitrates won't cause it either at 1st they are slow killers. Cal @ 500 is great Alk @ 10 is great, why higher than suggested norms because your coral hasn't been in long enuff to absorb any nor do you have a tank full. Too much flow can do it for a lil' while, poor acclimation can do it for a lil' while, changes in lighting most definately for a lil' while but when the corals hungry it opens - so - are you feeding reef planktons? ( But this is a day late dollar short will get to it later)
Also - when the corals are introduced to a new enviorment they can expell zooxanthallae algae they also do this when stressed - second to last pic shows this happening hopefully your tank is mature enuff to grow more. (also mute)
Theres a bigger problem - 2nd to last pic shows a dead cane, not good. Pic 4 you see lil' dots all over the canes this can be barnacles or white worms burrowing into the corals eating them from the inside out. Always Coral RX before adding to your tank. You'll need a 6 line wrasse or dottyback to get them out of the tank as they will attach themselves to your rocks and propagate - Frogspawns probably toast - so sorry.