Yep.
This is very true. The Japanese Navy were strong believers in Mahanian strategic thought. They believed that only the “decisive battle” could win them their war against the United States. After Pearl Harbor this was a fallacious thought on their part. If they had sunk all three of the American flattops in the Midway battle it would only had strengthened the American resolve all the more. As you said, they were doomed.
Yep.