Please define perfect water? How many watts of lighting is your PC
? Although your tank may be fully cycled some would not recommend any anenome for a tank less than 6 months old preferably a year.
They also can be sensitive to nitrates, this also might explain the algae.
Is your setup reef? Any other changes or additions to the system since you put them in.
It is common for anenome to move around until they find a happy place. I use PH
sponges which also provides some additional filtration. Just rinse them once in awhile with tank water when you do a water change.