i agree....or, at least it doesnt look like bba to me.The algae doesn't rub off? I ask because it looks like diatoms or dinoflagellates to me.
i used to have bba...but no more!!!!
anubias are prone to algae due to their slow growth. your options include moving them to a shaded part of the tank, moving them to a different tank, lowering your lighting.
you can 'leave' h202 in your tank because well...it is water with a little extra oxygen attached to it. if you keep your lights on and your filter on for several hours all the h202 will gass-out
how big is your tank?