They're only going to look at your GPA for Eng 101, Psych 101, Psych 215, Heal 109 (nutrition), Bio 250, and Bio 251. You've got 2 Bs and 1 A with 3 classes left to take (though you can apply after you have Bio 250 done). I would really try your best to get an A in Psych 215 and Bio 250/251. If you do that, and do well on the TEAS, I'd say you're competitive. I got in without having Bio 251 completed, though I was enrolled in it when I applied. Since you have to have Bio 250 completed before you can apply, it looks like you're aiming for the August 2012 application period if you're not taking 250 until next spring. Did you take high school chemistry? If not, you also need Chem 100 completed before you can apply.
The TEAS comes after you apply and JJC does a first screening of applications before sending out notices to register for a TEAS date. If you don't have the minimum prereqs done (Eng 101, Chem 100/high school chemistry, and Bio 250, COMPASS test and Math 090 or proficiency) they won't clear you to write the TEAS that application period. The admissions criteria and process can be found here: http://www.jjc.edu/admissions/Pages/...-criteria.aspx
My best advice would be to make an appointment with a nursing advisor. Everyone I've dealt with in the Nursing department has bee wonderful. It breaks my heart that I won't be able to take my seat in the program this fall after working so hard to be accepted.