Option 1 states that the State Election Commissioner is appointed by the Governor of the State. This statement is generally correct. The State Election Commissioner is appointed by the Governor or President (in the case of Union Territories) after consultation with the State Government.

Option 2 states that the State Election Commission has the power to prepare electoral rolls and has control over elections to the panchayats. This statement is also generally correct. The State Election Commission is responsible for preparing electoral rolls and conducting elections for local bodies, including panchayats.

Option 3 states that the State Election Commissioner cannot be removed from office until he demits himself or completes his tenure. This statement is correct. The State Election Commissioner enjoys security of tenure and cannot be removed from office except in cases of proven misbehavior or incapacity.

Therefore, the correct answer is option 2, as statements 1 and 2 are correct. However, it should be noted that statement 3 is not mentioned in the question and is not relevant to the options given.