False. CEOs, at least good ones, have a rare skillset deserving of significant compensation.
False, Jake. CEOs are merely paid a lot to reinforce the pecking order - a hierarchy of greed, envy, misery, hubris and humiliation. All the people who make the money for the company are paid a subsistence, but the overseers must each be paid more at each successive level to make the system of desperation work. Certainly the number of people who could competently run any given corporation runs into the thousands or tens of thousands - the ones who actually get that privilege get it not because of 'competence' or by being 'deserving', but simply through the operation of the class system.
Irrelevant. Capping salaries isn't going to end greed; it's just going to ensure that companies that are in trouble can't pay for great executives.
'Great executives' sound a trifle naive, Jake. Things don't work the same way in reality as they do in the libertarian or supply-sider's fantasy.