Hey, thanks again bro. Your suggestion probably saved me a huge amount of hassle because I more than likely would have flashed the wrong version. Ive been using root for nearly 3 years and this was my first time flashing a custom kernel/rom.
Incase anyone cares, faux123 kernel for vzw gs3 schi535 4.1.2 rooted unlocked bootloader is realer than real deal holyfield. I have completely gotten rid of the "homepage lag" after clearing the ram, and my battery is sitting at 70% after 12 hours of use.