Yes, you do have a couple of condi anemones, or more correctly,
Condylactis gigantea. Here is a link to some general information about them (Offsite) -
Giant Caribbean Sea Anemone (Condylactis gigantea)
Also, nothe that your anemones are white, rather than brown. This is because they have lost their symbiotic algae. They can recover this in time if kept under bright light.
I do not consider this anemone to be easy to care for, but it's not impossible. However, your tank looks more or less new, and it most likely too soon to introduce an anemone. They usual "rule of thumb" is that anemones should go into well established tanks. This usually takes about a year. Anemones also require just about perfect water quality. They are closely related to corals, and you can think of them as a big coral polyp, with out the skeleton.
Feed this anemone only once or twice a week, and only one or two, very small bits, about 1/4", of chopped seafood.
The other alternative may be to return them to your LFS.