1st statement is incorrect.

Semi direct democracies in which representatives administer day-to-day governance, but the citizens remain the sovereign, allow for three forms of popular action: referendum (plebiscite), initiative, and recall. The first two forms—referendums and initiatives—are examples of direct legislation.

Initiative: In political terminology, the initiative is a process that enables citizens to bypass their state legislature by placing proposed statutes and, in some states, constitutional amendments on the ballot.

Referendum: Referendum is a general term which refers to a measure that appears on the ballot. 

Recall: Recall is a procedure that allows citizens to remove and replace a public official before the end of a term of office.