Are you sure there is a November class? The next two that I know about are October and January.
As far the eye exam, they are very thorough but unless you have a known problem you should be fine. When I spoke with the Navy Flight Doctor at NAS Atlanta for my initial flight physical, he told me that the minimum requirement is 20/40 correctable to 20/20. Be sure to rest your eyes as much as possible a few days before the exam, and I always use some "natural tears" eye drops (nothing medicated) just to keep them moist. That seems to help keep my eyes clear for the exam. Of course, when you get the cycloplegic done they dilate your eyes anyway (not real comfortable).
-Matt