One of the most clear opportunities for Hara to destroy the US force is on the morning on the 7th (another chance was couple of days earlier when Fletcher was fueling i think, have to recheck again). As known the scout from Shokaku mistakenly signalled "one CV and one cruiser" to the south (Sims and Neosho), prompting Hara to send everything he got. The real sighting of Fletcher came after the strike was launched, about half hour or so (again, have to re-check).
If that scout had his damn eyes opened and sees Neosho for what it is (a lowly tanker), Takagi launches a bit later but against Fletcher, in the perfect setup, attacking the enemy force while the enemy does not know his position. I've played with this scenario in my head many times, the japanese will send 18 Zero, 36 Val and 24 Kate, vs. about 15-17 F4F and 10 SBD available to Fletcher for defence (less than in OTL 8th of May battle, crucially also very unlikely Hara's flyers meet returning US fighters from the strike on Shoho as they were going in different directions, so less japanese losses in the strike, not to mention they have avoided the OTL disastrous dusk attack that cost them 9 attack planes and very experienced flyers)
All things being equal i am guessing at least one, maybe both (if Lexington is still unlucky) american CVs are sunk, but quite likely they have one sunk and one severly damaged. The japanese lose about 25 planes to all causes, with more damaged, their force is still depleted but not nearly as bad as OTL. After repairs next day they could still have available 30 Zeros, over 20 Vals and over 20 Kates (plus some more that will be too damaged to be repaired on the spot, they were not jettisoned as in OTL because none of the CVs were damaged).
Ironically, after this clear victory the best and "safest" scenario (imo anyway) for the japanese is still retreat as in OTL, because if they get into trying a landing, no matter what happens Shokaku and Zuikaku will be exposed to some extent to the US heavy and medium bombers from PM and Australia (but they were relatively few and inaccurate), but much more dangerously, they might be sucked into a fight with Halsey's Enterprise and Hornet coming at maximum speed and at full strength from the South. Given the still depleted state of CarDiv 5s airgroups, this is not a good situation for them.
So best case for them is Hara smashes the US force, the invasion convoy enters the Coral Sea but in the face of increasing air attacks from US bombers (B-17, B-26 and B-25s) which might hit some transports Inoue still loses his head and orders a retreat next day or the 9th (maybe they even bump into Crace).
What happens next, particularly at Midway, well, it's up to one's imagination, either no CV fight (with the invasion having a fair chance to succeed), or 2 vs. 4 (very risky for US), or 2 vs. 5 (worse scenario for US- assuming at least Shokaku or Zuikaku participate) or 3 vs. 4 or 5 (risky to very risky for IJN) if somehow the americans manage to get Saratoga there. Either still an overwhelming US victory, draw, or another japanese victory, take your pick.