Statement 1 is correct: Under Article 361 of the Indian Constitution, a Governor enjoys immunity from criminal proceedings while in office. No court can initiate proceedings against a Governor during their tenure for acts done in the exercise of their official duties. This provision ensures that the Governor can perform their constitutional responsibilities without fear of legal harassment. However, civil proceedings can be initiated with a two-month prior notice..

Statement 2 is correct: As per Article 158, the salary and allowances of a Governor are determined by law and cannot be reduced during their tenure. This provision guarantees the Governor's financial independence, preventing any undue influence on their functioning.

Hence, the correct answer is option (c) Both 1 and 2.