Each statement in the question involves a legal context related to the writs issued by the Courts in India.

1. A writ of mandamus is a directive from a court to a government official ordering the government official to properly fulfill their official duties or correct an abuse of discretion. It cannot be issued against a private organization unless it has a public duty, meaning a duty that it has a public obligation to fulfill, just as a public entity would.

2. Similarly, a writ of mandamus will not lie against a Company even if it`s a Government Company, unless it`s discharging public duties.

3. Quo warranto is a type of writ that challenges the legal basis of a person`s position or function, typically in a public office. It can be issued to an individual who holds a public office to inquire about the legality of them holding that office. Any public minded person can be a petitioner to move the court to obtain this writ, i.e., anyone can seek to ensure that someone is holding office validly.

Therefore, all the statements are correct, which means option 4 - "1, 2 and 3" is the correct answer.