Answer:
Everything except for your classmates' opinion on the topic (and maybe the last one)
Step-by-step explanation:
The first one because:
It is hard to do research on a topic with little information, especially if it is for a paper that is researched-based and dependent on this.
The second because:
It is hard to write and stick with a topic if it bores or doesn't interest you. You will find if you select a subject that fascinates you or one that you are passionate about, the work you get done in a period of time for it is more efficient. You will be more eager to do well.
Not the third because:
It is your essay, therefore you decide if you want to follow through based on your opinion about the topic you chose.
Possibly the fourth because:
The guidelines for the paper may affect what the topic is to a degree. For example, if the teacher's guidelines include a rule like "Topic must be about an event, person, or idea in history during or before the mid 1800s". You would still choose your own topic, but it would not be about, say, how the human brain functions, as this does not follow the guidelines. If there is no rule like this set, then the last option is most likely irrelevant to choosing the topic. So yes and no, depending on the guidelines.