You are correct. IMHO, two SSNs should be with each carrier. But they do not have the speed of the S3 and this allows the S3 to loiter around all major threat axis, well in advance of the carrier...looking and hunting and identifying. With 10 of those on board a carrier, a whole lot of territory can be covered very quickly...and covered again and again if necessary.
I agree with your analysis as well, at least two attack boats per task group.
Agreed. But instead they plan on just relying for the forseeable future on the helicopters, such as the slower and shorter-range MH-60R, which of course implies a degree of unseriousness for defense of capital ships that is alarming.
In WW-II we nearly lost the war in the Atlantic against the U-Boats because there was a Naval Admiral who was tasked with dealing with the submarine threat... He let his anti-British bias get in the way. He refused to incorporate the learning that the British had achieved. Wouldn't do convoys. Wouldn't do fast escorts...loaded for bear... with sonar. Etc.
If this neglect of ASW isn't a Chi-Comm mole or other Panda-Hugger misdeed... I would suspect somebody high-up in the Pentagon echelon who has some kind of similar mental hang-up about effective ASW even yet today...