Stop mucking around and go upstairs and do your homework. You said you gotta write an essay about the Edo period in Japan, right?
The bay door isn't what you might think, it refers to Edo, which is what Tokyo was called back in the day. You'll still see references to it everywhere, though, so it's good to learn. You can also call this Tokyo if you want, but I'd prefer if you answered "Edo," instead.
The readings are the ones you learned with the kanji. Of course, it will be easy if you know the word Edo already.