The temp thing will cause serious issues with nuisance algaes as well as cause problems with your corals being able to cope with the growth of the algae.
All of the above suggestions are good advice, get the temp down and keep it down. IME, the more stable your temp, salinity, and pH are, the better off your tank is.
I use fans over my tanks to keep them cool, also you may check your RO/DI and make sure the resin isn't spent. Sometimes when your DI resin gets used up, you will start inadvertently adding heavy metals to the tank. Even if it is a small amount each time, if there isn't anything taking it out it will build up.
And could your haze actually be micro-bubbles? Check out your plumbing and make sure there aren't any pinholes where it is sucking in air.
Your feeding items, flake and sea veggie, can sometimes cause phosphate problems. Do you run GFO at all? I use it in every system I have and maintain. You might try adding some in a filter bag in your system.
But your temp is definitely an issue. I have had problems with hot tanks before, and once the temp issue was resolved, the other problems, algae blooms, cyno, and sick fish, all went away quickly. Get it down to about 76-80 (I prefer 79-80) and I think a lot of your issues will resolve themselves. Also you might add some dwarf cerith snails to make sure the interior of your rocks is getting cleaned as well.
Keep us posted!