Just read through your grow. I wouldn't say nute burn on your plant. Those first few pics when it was younger when the leaves were kinda yellow and the tips were brown. I would say that was from your temps and low humidity.
What I did to keep it cool when I was using a smaller closet was use a 8" drier vent tube and 3 1/2 inch PC fan. The flexable dryer vent has a metal coil in it. I smashed the coil so that it wasn't round, about an inch tall oval, for about 6-7 turns of the coil. This way I could slip it under the door and air could still flow through it. Inside the closet I hung the vent about a foot from the celing. Outside I had the fan in the end of the tube, pulling air out of the closet. Kinda sucked having to make sure the tube was open everytime you moved the door, but it worked... and cheep.
Once you get your temps down, humidity should go up a little. Don't know what climate you are in, but you have to take that into account also, 35% is low though. Will be nice for flowering, won't have to worry about mold.
Your most recent pics look good. I wouldn't worry too much about the lower leaves that are touching the hydroton, mine do that too when they sit on the stuff. I think it kinds sucks the moisture out of them or somthing.
Roots look nice. Once they get longer, and have been in the botanicare for more time, the roots will probably not be as white but don't worry its just the nutes. The new tips should be white, usually about 1 to 3 inches from the tip. If they start to get all brown, without white tips or anything, then you need to look out for slime. That happened to me once, which sucks because all of my plants share the same water. But, I caught it early, threw out the plant, and scrubbed out my system. It never spread to the other plants. It was good for experience, there was defanitely a distinct smell that I now look out for.
After thought.... Once your roots get about 8" long, drop your water level to be a few inches below the pot. So that the roots hang in the air a little before they hit the water. They will like it.