1) Ja, der Aufsatz hat eine Einleitung, einen Hauptteil, und einen Schluss.
2) On the whole, I think your content is pretty solid. You have a good amount of detail throughout the essay. However, since your title is centered around the connection between the Lord of the Rings and the places you want to visit in New Zealand, I think it would be logical to keep going with that theme throughout your essay– about midway through it you switch to talking about the natural/cultural features of New Zealand, and ultimately conclude with a statement regarding the beauty of the country as a whole. This causes the essay to not flow quite as well as it could, especially considering your title makes it seem as through the entire essay is going to be about the Lord of the Rings and the film trilogy’s connection to New Zealand. I think the easiest way to fix this problem would be to edit your title to include all of the features of New Zealand that you talk about throughout your essay– the Lord of the Rings-related features and the natural/cultural ones– and then edit your introduction and conclusion in the same fashion; the intro only discusses the Lord of the Rings, while the conclusion only discusses the natural/cultural features of New Zealand.
3) I would say you need better transitional phrases going into your introduction, paragraph two, paragraph 5, and your conclusion. For your introduction, you could try leading into the topic of your essay via a descriptive sentence of the scenery that New Zealand has that was used in LoTR, as well as its other features. Essentially, describe the country’s beauty to “hook” the audience. In paragraph 2, you could use a transitional phrase as simple as “um zu beginnen”– to begin. For paragraph 5, since you are switching topics from LoTR to the other features of New Zealand, you could try phrases such as “andererseits” or “umgekehrt”, which mean “on the other hand” and “conversely”, respectively. Finally, decent concluding phrases that you could utilize for your conclusion are “abschließend” or “alles in allem”.
4) Du hast nichts über die Fragen “mit wem?” und “wie lange” geschrieben… Bitte mach das!
5) Your sentence beginnings are pretty good. I think all you really need to do to improve them is to add transitional phrases on the aforementioned paragraphs.
As a side note, you forgot to put a verb on the end of the beginning sentence in paragraph 5… I think what you meant to say is “Ich würde auch nach Queensland, das populärstes Reiseziel Neuseelands, reisen.”
Hope this helps! 🙂