The white fuzzy stuff in the top picture looks like the mold or fungus I had a few months ago. When it was in my tank it started by forming on stems/leaves but would also free-float if disturbed, like when I tried to clean it off the plants sorta like dandelion puffs.
Folks here and on another forum gave me two really great pieces of advice, so I'll pass them along:
(1) Make sure you aren't over-feeding, or leaving food on the bottom of the tank.
(2) Change the food you're using. I was told that some foods have more binders than others and sometimes those binders can cause fungus if left in the tank. I have no personal knowledge to back that up, but changing the fish food did resolve the problem for me.
I also had to pull out the worst-affected plants to wash off the white stuff (water and fingers only) and did a couple of partial water changes back-to-back with some aggressive netting out of any floating white stuff. The good news is that after that and changing the fish food the problem disappeared. Hope it works for you, too!
By the way, the green hair algae on the glass was happening to my tank, too. It also disappeared after changing the food.
Last edited by Elli; 12-06-2013 at 12:28 AM.
Reason: added last paragraph