Is it acceptable for me to use a Nazi swastika on my project if my project deals with...?

As a sophomore in high school you are not likely to have a teacher who is very open-minded, and who has to answer to a school board, parents, and the government. If you play around with symbols like that they might just give you a failing grade or even expel you from the school. If you are trying to get a good mark and finish high school with a good academic record, do NOT do it.