I´m using k02 - 128 Kb. I can connect and download firmware with KinetisFlashTool. But after download new firmware it no start, my hardware remains in bootloader firmware ( I put a toggle led to test this).
I do offset to 0xa000 in KinetisFlashTool and use led_demo_tower_a000. I test led_demo_tower_0000 and in this case I lost my bootloader. Because it I think that the problem are in memory map.