[Galaxy Note II Q&A, Help & Troubleshooting] E90 Commie:
I managed to extract the kernel log file. The last part of it looks like this:

Samsung S-Boot 4.0-679347 for GT-N7100 (Dec 26 2012 - 10:25:20)

EXYNOS4412(EVT 2.0) / 2047MB / 15028MB / Rev 11 / N7100XXDLL7

initialize_ddi_data: usable! (2:0xe)

PARAM ENV VERSION: v1.0..

<start_checksum:331>CHECKSUM_HEADER_SECTOR :4096

<start_checksum:333>offset:50, size:6296

<start_checksum:336>CHECKSUM_HEADER_INFO : NeedChecksum:0 PartNo:20

Not Need Movinand Checksum

Movinand Checksum Confirmation Pass

init_fuelgauge: fuelgauge power ok

init_fuelgauge: not POR status

init_fuelgauge: manual reset case, skip soc-cal.

get_table_soc: vcell(4025) is caculated to t-soc(77.410)

init_fuelgauge: start: vcell(4025), vfocv(4076), soc(78), table soc(77)

init_fuelgauge: finish: vcell(4025), vfocv(4076), soc(78), table soc(77)

init_microusb_ic: MUIC: CONTROL1:0x00

init_microusb_ic: MUIC: CONTROL1:0x00

init_microusb_ic: MUIC: CONTROL2:0x3b

init_microusb_ic: MUIC: CONTROL2:0x3b

PMIC_ID = 0x02

PMIC_IRQSRC = 0x00

PMIC_STATUS1 = 0x13

PMIC_STATUS2 = 0x00

PMIC_PWRON = 0x09

PMIC_IRQ1 = 0xc2

PMIC_IRQ2 = 0x00

s5p_check_keypad: 0x100000

s5p_check_reboot_mode: INFORM3 = 0 ... skip

s5p_check_upload: MAGIC(0x66262564), RST_STAT(0x10000)

s5p_check_upload: debug level is 4f4c!

s5p_check_upload: level low or unknown: skip 0

microusb_get_attached_device: STATUS1:0x3f, 2:0x00

s5p_check_download: 0

microusb_get_attached_device: STATUS1:0x3f, 2:0x00

check_pm_status: charger is not detected

check_pm_status: voltage(4025) is ok

ddi type = 1, S.LSI

cmu_div:6, div:2, src_clk:880000000, pixel_clk:62614944

41, 16, a2,

load_kernel: loading boot image from 1141838212..

- read_bl1

Verify_Binary_Signature: failed.

pit_check_signature (BOOT) invalid.

Set invalid sign flag

if_ddi_data: succeeded. (2:0xe)

ATAG_CORE: 5 54410001 0 0 0

ATAG_MEM: 4 54410002 20000000 40000000

ATAG_MEM: 4 54410002 20000000 60000000

ATAG_MEM: 4 54410002 20000000 80000000

ATAG_MEM: 4 54410002 1ff00000 a0000000

ATAG_SERIAL: 4 54410006 4df1f97c 36cf9ff5

ATAG_INITRD2: 4 54420005 42000000 85ce3

ATAG_REVISION: 3 54410007 b

ATAG_CMDLINE: 6e 54410009 'console=ram loglevel=4 sec_debug.level=0 sec_watchdog.sec_pet=5 androidboot.debug_level=0x4f4c sec_log=0x200000@0x46000000 s3cfb.bootloaderfb=0x5ec00000 sysscope=0xee000000 lcdtype=1 consoleblank=0 lpcharge=0 lpj=3981312 vmalloc=176m oops=panic pmic_info=67 cordon=58a4048e6da218bf13a26b048ba5702c androidboot.emmc_checksum=3 androidboot.bootloader=N7100XXDLL7 androidboot.serialno=4df1f97c36cf9ff5 snd_soc_core.pmdown_time=1000'

ATAG_NONE: 0 0

Starting kernel at 0x40008000...

SWITCH_SEL(3)

This is from ARHD 8.0.

Now, it suddenly did a "light factory reset" - i.e. it rebooted and then run the initial setup again, fortunately Root Explorer remained in place so I could extract the log file.

This is the last.kmsg log.

Edit: Since I see something about the .pit, perhaps I should try to use Odin 3.07 instead of 3.04 and reflash the stock ROM with it together with NAND erase, if there is something troublesome with the partition table.

On the other hand, it is still very strange that the old BP 0.2/ALJ3 works perfectly.