I agree with everything being told to you here. If you want to keep your anemone your going to need a stronger light. Two 10K bulbs are not going to give it the proper light it needs to live happy.
This is the cheapest light I could find that I believe will do the Job.
Coralife Lunar Aqualight T5 Lamp High Output Fixture
It's a great investment as you can add some low light coral down the road and really make your tank pop!!
You need to take your fish back to the LFS
and cycle your tank properly. I suggest you go to the local supermarket and buy a two or three uncooked shrimp and some clean panty hose. Put the shrimp into the hose and throw it into your tank! Three to Four weeks your tank should be cycled! It will be a strong cycle and you will know your tank is safe and ready for your first fish!
Always add slowly to allow more bacteria to build up! Slow wins this race!
Don't feel discouraged, a lot of people make the mistake of starting up a tank fast! I did! I lost my whole freshwater tank because I decided to go fast! I got out of the hobby for a year until I decided to research and do it right!