Well, then is have to say this is all lighting. I had 4 t5ho over my 55 and had similar issues when I started out. The other anemone was moving probably to get to more light, meeting your power head in. The process. The added stress from one anemone nuking your tank did not help your other and most likely hastened the bleaching/stressing of the other.
If you can possibly make a rock pile to try to get your anemone closer to the light it could help, if it decides to stay there. But it is your best bet to get stronger lighting. Keep in mind this will take a long time to recover from and is not an over night process. Also, increase lighting gradually as an anemone bleached puts it ok a fragile state.