Lets start with your Parameters:
Salinity: 1.027 (bring down to 1.025)
Temp: 23.7 = 74.66 .(bring up to 77-79)
Alk: 7 = low ( range is 8-9)
pH: 8.2
N03: 0ppm
Phosphate: 0ppm
Calcium: 380 =Low (should be 440)
WHAT TEST KITS ARE YOU USING?
LIGHTING :
Reduce white light intensity
Is tank at or near a window?
PULL AS MUCH AS YOU CAN BY HAND.
Green Hair Algae or "GHA" is really a broad term that covers hundreds of species of green simple filamentous algae. These species tend to be simple, fine in texture, and have few distinguishable features. True species level identification requires a microscope. GHA is not coarse or wiry, it should break apart easily when pulled, and should lose form quickly when removed from water. If you can make out a root structure, or a stiff branching structure it is probably not GHA.
Green hair algae can be pulled out easily, and tooth brushed or scrubbed off the rock work. This is easier to do if the rock is outside of the tank. If it is growing from the sand sift it out with a net.
After you have done these steps, you can add: Florida Blue Leg hermits, Cerith snails, Chitons, Turbo grazers, Sea Emerald Crabs, pin cushion Urchins and a few cerith snails. It is readily accepted by many herbivores, but because it grows quickly it may persist even in a tank with a fair amount of cleaners.
Why it Happened: An excess of available nutrients, particular the majors like phosphates and nitrates. Keep an eye on possible iron and potassium sources which may also help fuel hair algae. Hair algae spores and fragments are so abundant that keeping it out of the tank via quarantine is unlikely to be successful. Your best bet to preventing this algae from taking hold is to maintain a weekly water change regimen, maintain your filtration and perform manual/natural algae removal as it forms. Proper magnesium and alkalinity levels are thought to discourage the growth of many species of GHA.
addition of chemipure elite will also help with nitrate and excess phos