I don't live in Palatka, but my company's main office is stationed there so I go about once a month or so...I just want to forewarn you that the area seems to be very conservative and not natural-minded at all.
I am not sure if there are any health food stores and there are definitely no restaurants that really cater towards vegetarians (there's a chinese buffet that's decent, Niko's pizza place has spaghetti and italian food that you can get with no meat, and there's a Chilis that should have veggie burgers, but that's about it...).
Then again, this is just Palatka...I've never been to the surrounding areas so hopefully you'll have more luck there.