Poor spelling and grammar will detract from the authority of your writing. It often helps to read your papers aloud to arrive at smooth sentence structure. Have a friend look at the paper for errors. You will not be graded on the mechanics of your writing, but if there are significant errors, I will have you rewrite the paper with corrections. If you are dealing with a contemporary philosopher, the first time you mention an author use her or his full name.
All subsequent times use last name only.
In the academy, this is no longer the norm. Writing is sometimes powerful in its content. Writing is also sometimes powerful in implicit ways. Make sure that your papers express your considered views on gender issues. Save your attempts at humor for another setting.