CEO Remuneration

yes

No restrictions. Schedule XIII is applicable only for managerial remuneration(Managing Director or Manager).

Yes ,every Public company has to fulfill conditions of section 198
and 309 of the companies Act 1956, while making REMUNERATION to
MD/CEO.......what ever name called.............

Its not applicable to Private comapny...As per Notification No GSR 235 dated 31.01.1978

First of all you have to define CEO to see whether such a position attracts the provisions of Companies Act 1956. There is no CEO definition as per that Act