The correct option is 1 and 3 only. Statement 1 is accurate as the Rules of Procedure state that the Speaker determines the date for the election of the Deputy Speaker. Statement 3 is also correct because the Deputy Speaker possesses the same authority as the Speaker when presiding over House sessions, and their rulings cannot be appealed. Conversely, statement 2 is incorrect, as the Deputy Speaker is not required to be from either the ruling or opposition party but is usually elected from the opposition. Lastly, statement 4 is misleading, as the motion for the Deputy Speaker's election does not have a formal requirement for it to be moved by the Speaker and seconded by the Prime Minister. These nuances reflect the intricacies of parliamentary procedure, which are crucial for UPSC candidates to understand in the context of governance and legislative functions.