I'm assuming a limited kamikaze contingent because the number of targets would be 4 carriers, (Enterprise, Hornet, Wasp, Saratoga). The idea that the IJN would give up its ship killing punch (torpedo bombers) also makes no sense. Therefore that would not happen either. The optimal use would be as I said. To send the kamikazes in first with heavy fighter escort to knock out the decks and bingo fuel the lofted Wildcats. Then, the torpedo bombers come in and hit the carriers. Then, the IJN surface forces arrive and finish them off.
The B5N1 was an existing airframe that had been recently retired from frontline carrier service, and therefore was immediately available in large numbers, and operable on a carrier deck. Pulling 54 from land based units in Japan would be perfectly feasible, albeit at a cost in ASW patrols and some flight training of new recruits until replacements were provided. The answer to the second question is that in 1942 the IJN I think had something about 3,000 pre-war pilots (less losses), but graduated about 2,500 during the year for a total of 5,500. A kamikaze unit of 54 aircraft would be about 6 'guide' planes (ie, elite crews that pathfind for the force but would not make kamikaze attacks themselves) and about 48 more poorly trained pilots (ie, maybe around 200 hours flight time in comparison to the 1,000+ hours of the veterans by the summer of 1942).(1)
In terms of the carrier take off trained, I assume you meant trained for carrier landings? (2) The answer to that one is that there would be no point to training kamikaze pilots for carrier landings. If a flight was dispatched and missed all targets, the crews would need to be trained for water landings back at the fleet. There would be no time for something as useless as training a kamikaze pilot to do carrier landings. (The Kamikaze aircraft can fly strikes to ranges beyond conventional aircraft, as they can fly past bingo fuel looking for targets. The pathfinder crews are not making attacks, so the elite guides have extra fuel instead of a weapon. )