What kind of seahorses? Is there a sump? Protein skimmer? Chiller?
Unless they will be smaller seahorses like Fuscus, with a sump and protein skimmer, you might have problems with water quality in that small of a tank.
Also, you will have temperature problems with the heat from that light system and will almost certainly need a chiller to keep the temperature in the 68° to 74°F range.
You could also just keep the room cool enough to compensate for the lights.