Lighting issue, what can I say.
For instance, a BTA will need approximately 4 watts per gallon. Sort of a general rule of thumb. Problem is that this WPG (watts per gallon) idea doesn't work with small tanks below 55 gallons. On a 12 gallon, 20 gallon or even 30 gallon I'd have to suggest a min lighting of something in the area of 220 watts. Not saying that folks have not gotten success with less, but in the area of lighting and a photosynthetic animal like an anemone more is usually better.
LTA's do like to have a sand bottom, usually near the rock work, it all depends on what it wants to do.
By now I'd say that you are handling the anemone way too much. Normal acclimation time is 2 weeks give or take and moving him all the time will make things worse. The final decision on where it goes will be up to the anemone.
All in all If I were to look into my crystal ball I'd say the anemone is going to be on a slow decline to death given the (sorry) meager lighting that it is getting. I'd suggest if you are going to try to make it live then you must attempt to feed it 3 times per week. Meaty foods and not brine shrimp.
LTA's should be in nothing less than a 55 gallon in my opinion, with about 3 inches of sand bed.
Thomas