2 blue actinic bulds and a Power Compact lights.
Not sure of the wattage of the PC
's, but this does not sound like enough light for any host anemone.
Another thing to be careful of is purchasing a healthy anemone - knowing the 'appearance' of a healthy anemone, vs. a sick/bleached/dyed anemone. This takes a bit of research, depending on the type of anemone you're considering purchasing.
I don't usually recommend anemones at all (unless kept by an 'advanced' aquarist in a species tank), but if they are to be purchased/kept, the "best" one is the BTA (Bubble Tip anemone - Entamacea quadricolor).