I would also add one or two powerheads. You want to approach 15x+ water turnover rate for a reef tank and having only one laminar source of movement with your power filter is not the best. The powerheads could be used to direct currents against each other so they flow randomly through the rest of the tank and prevent dead spots.
In such a small tank, I would choose between either the anemones or the corals (save for a few hardy soft corals in an anemone tank....but if the anemones wander in a stocked reef tank you will have problems).
If you go with 2 clowns, stay with one species and preferably some of the smaller varieties (percs, ocellaris, etc.). Clowns of different species will often fight, especially in tanks of smaller size. Enjoy a mated pair and one anemone. Finally, I would pass on the flame in favor of an even smaller Centropyge....Centropyge argi, the cherub angelfish. IMO
a 37g is squeezing things a bit too much for a flame.