The correct statements are #3 and #4.
The Hazelwood vs. Kuhlmeier case was an important precedent set for students right to free speech. It all started when a principal in the Hazelwood school district stopped students from publishing two articles, one about teen pregnancy and the other about divorces. The students then sued saying their freedom of speech (aka first amendment rights) were violated. After multiple cases at the lower level, this case was taken by the Supreme Court. This ruling said that principals do indeed have the ability to limit what articles are published because it is a school sponsored program.