Identify the correct statements:

$1.$ Kitchen cabinet is an informal body consisting of the Prime Minister and few of his influential colleagues.

$2.$ Kitchen cabinet is composed of not only cabinet ministers but also outsiders like friends and family members of the Prime Minister.

Which of the statement(s) given above is/are correct?

Consider the following statements:
$1.$ The highest criminal court of the district is the Court of District and Session Judge.
$2.$ The District Judges are appointed by the Governor in consultation with the High Courts.
$3.$ A person to be eligible for appointment as a District Judge should be an advocate or a pleader of seven year's standing or more, or an officer in judicial service of the Union or the State.
$4.$ When the Sessions Judge awards a death sentence, it must be confirmed by the High Court before it is carried out.

Which of the statements given above are correct?

Consider the following statements regarding the Governor of a State in India

$1.$ To be appointed as Governor, one should have completed the age of $45$ years.

$2.$ The Governor holds the office during the pleasure of the President.

$3.$ After completing five years in office, the Governor cannot continue to hold the office even when his successor has not entered upon his office.

$4.$ The executive power of the state is vested in the Governor.

Which of the statements given above are correct$?$