Option 1 of the given statements about the Chief Justice of India (CJI) is not correct. The CJI does not appoint the Chief Justice of all High Courts. The appointment of Chief Justices of High Courts is made by the President in consultation with the CJI and the Governor of the respective state. The CJI, however, does play a significant role in the selection process by recommending candidates for appointment.

Option 2 is correct as the CJI does administer the oath of office to the President. This is a formal ceremony where the President-elect swears to uphold the Constitution and perform their duties faithfully.

Option 3 is also correct. In the event that both the offices of the President and Vice-President are vacant simultaneously, the CJI temporarily assumes the duties of the President until a new President is elected or the Vice-President assumes office.

Option 4 is correct. The CJI can hold office until the age of 65 years, as per the constitutional provision.

In summary, the correct answer is option 1, as the CJI does not appoint the Chief Justice of all High Courts.