The air groups wouldn't have been on them: it was standard practice - still is - for them to fly off as the ship approaches harbour, and base themselves on shore. Otherwise, they couldn't do any flying practice when the ship is at home. Of course, ITTL the aircraft would probably been destroyed on the ground, though most of the crews would have survived.
Battlecruisers? Well, if the USN loses 3 more BBs, it depends on how many of the crews survived - this may be a blessing in (heavy) disguise as the USN will have a couple of thousand, minimum, trained men spare to work up new ships.
Oil: you're assuming a third strike, which is more likely if the KB know the carriers are wrecked. Rebuilding the oil stocks will require quite a bit of tanker capacity.
There's others here with a lot more knowledge of this stuff than me, mind.