Hey Alan,
Refer to the following thread for a lot of your questions. I'm sure if you have a question, it'll be covered there. It has years of posts on there and its probably the most comprehensive source of information on EVMS out there right now.
http://forums.studentdoctor.net/showthread.php?t=273697&page=16
Class size will probably be around 23-25 I'm guessing. Its currently 23 but its been going up by a couple every year.
By being in this program, you are guaranteed an interview at EVMS.
Applying right now does not put you at a disadvantage at all. I think an overwhelming number of the applications come in after winter break when the outlook starts looking bad for current med school applicants. I know I applied towards the end of January and I got in. People had gotten in before I submitted my application as well.
At the same time, do not delay your app! I hear the current number of applications submitted has gone up a lot thanks largely to greater awareness through SDN. Maybe some of my classmates can address this in the other EVMS thread?