The real Battle of Coral Sea was predominantly a 2-day battle: May 7 and May 8, 1942.
That's what we are modelling here. Two frames of battle (May 7 and 8). Then to make a 4-frame scenario, a side switch and replaying May 7 and May 8.
By May 6, both fleets had spotted each other. On May 7, both launched strikes early. The IJN destroyed the Neosho (an oiler) and sank the Sims (destroyer escorting the Neosho), and the US sank the Shoho.
On May 8, the IJN destroyed the Lexington and damaged the Yorktown, and the US damaged the Shokaku.