TYPED? -- Yes, and double-spaced, with each page after the first page numbered. (If you really can't type, make sure your handwriting is legible -- I know, who am I to talk? -- and write on one side of each sheet only, skipping every other line.
TITLE -- A title page is optional, but you should definitely give your essay a title. Let your reader know that you know what your essay is about. It doesn't have to be a clever title, but it should indicate the central focus of your paper.
CITING REFERENCES -- Because I'm not looking for research papers, most of the essays shouldn't need footnotes. But every time you cite or refer to a passage from the work you're discussing, you should indicate the page number the passage is from -- that way your reader can look up the passage herself, and see the context it appears in, &c. The simplest way to indicate such a source, and the one I'd recommend using, is to put the page number in parentheses immediately after the quotation, like this -- "quotation" (p. xxx).
BIBLIOGRAPHY? -- If you've used secondary sources (if, for example, you've examined the way The Pioneers was reviewed in 1823, to see how Cooper's contemporaries felt about his representation of Native Americans), then you should provide a formal bibliography. Check with me about how that should look. But for most essays, all you need is a statement which text you used. You must provide that -- for your reader to be able to check your citations from Hope Leslie, for example, he needs to know exactly which edition you used. But it's easiest just to put a "Work Cited" attribution at the end of your essay -- like this:
Susanna Rowson, Charlotte Temple, ed. Cathy N. Davidson (New York: Oxford University Press, 1986)