This is the best time of the year to go to Jackson. There will be less dumb young people with their drama and hormones and personal problems to deal with than over the summer and the temperature will be decent outside. I went March of last year and it was pretty warm during reception, but most of the time in basic the temp was good. Optimally I'd go in Feb. if I had to go again.
Thank God I'm MOS-Q, some of the people you will have to put up with are way worse than the DS's. Good luck!